What is the Greatest Common Factor of 10675 and 10687?

Greatest common factor (GCF) of 10675 and 10687 is 1.

GCF(10675,10687) = 1

We will now calculate the prime factors of 10675 and 10687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10675 and 10687.

How to find the GCF of 10675 and 10687?

We will first find the prime factorization of 10675 and 10687. After we will calculate the factors of 10675 and 10687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10687

Prime factors of 10687 are 10687. Prime factorization of 10687 in exponential form is:

10687 = 10687¹

Step-3: Factors of 10675

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

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

Step-4: Factors of 10687

List of positive integer factors of 10687 that divides 10675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10675 and 10687. The biggest common factor number is the GCF number.
So the greatest common factor 10675 and 10687 is 1.

Also check out the Least Common Multiple of 10675 and 10687