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Listing Method: 10 and 25

Sagot :

Sofiaclairepmagno13idn

Answer:

Answer: GCF of 10 and 25 is 5.

GCF of 10 and 25

Explanation:

The GCF of two non-zero integers, x(10) and y(25), is the greatest positive integer m(5) that divides both x(10) and y(25) without any remainder.

Methods to Find GCF of 10 and 25

The methods to find the GCF of 10 and 25 are explained below.

Prime Factorization Method

Long Division Method

Listing Common Factors

GCF of 10 and 25 by Prime Factorization

GCF of 10 and 25 by Prime Factorization

Prime factorization of 10 and 25 is (2 × 5) and (5 × 5) respectively. As visible, 10 and 25 have only one common prime factor i.e. 5. Hence, the GCF of 10 and 25 is 5.

GCF of 10 and 25 by Long Division

GCF of 10 and 25 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step 1: Divide 25 (larger number) by 10 (smaller number).

Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (10) by the remainder (5).

Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (5) is the GCF of 10 and 25.

Step-by-step explanation:

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