What is the Greatest Common Factor of 10661 and 10675?

Greatest common factor (GCF) of 10661 and 10675 is 7.

GCF(10661,10675) = 7

We will now calculate the prime factors of 10661 and 10675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10661 and 10675.

How to find the GCF of 10661 and 10675?

We will first find the prime factorization of 10661 and 10675. After we will calculate the factors of 10661 and 10675 and find the biggest common factor number .

Step-1: Prime Factorization of 10661

Prime factors of 10661 are 7, 1523. Prime factorization of 10661 in exponential form is:

10661 = 7¹ × 1523¹

Step-2: Prime Factorization of 10675

Prime factors of 10675 are 5, 7, 61. Prime factorization of 10675 in exponential form is:

10675 = 5² × 7¹ × 61¹

Step-3: Factors of 10661

List of positive integer factors of 10661 that divides 10661 without a remainder.

1, 7, 1523

Step-4: Factors of 10675

List of positive integer factors of 10675 that divides 10661 without a remainder.

1, 5, 7, 25, 35, 61, 175, 305, 427, 1525, 2135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10661 and 10675. The biggest common factor number is the GCF number.
So the greatest common factor 10661 and 10675 is 7.

Also check out the Least Common Multiple of 10661 and 10675