What is the Greatest Common Factor of 82925 and 82931?

Greatest common factor (GCF) of 82925 and 82931 is 1.

GCF(82925,82931) = 1

We will now calculate the prime factors of 82925 and 82931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82925 and 82931.

How to find the GCF of 82925 and 82931?

We will first find the prime factorization of 82925 and 82931. After we will calculate the factors of 82925 and 82931 and find the biggest common factor number .

Step-1: Prime Factorization of 82925

Prime factors of 82925 are 5, 31, 107. Prime factorization of 82925 in exponential form is:

82925 = 5² × 31¹ × 107¹

Step-2: Prime Factorization of 82931

Prime factors of 82931 are 127, 653. Prime factorization of 82931 in exponential form is:

82931 = 127¹ × 653¹

Step-3: Factors of 82925

List of positive integer factors of 82925 that divides 82925 without a remainder.

1, 5, 25, 31, 107, 155, 535, 775, 2675, 3317, 16585

Step-4: Factors of 82931

List of positive integer factors of 82931 that divides 82925 without a remainder.

1, 127, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82925 and 82931. The biggest common factor number is the GCF number.
So the greatest common factor 82925 and 82931 is 1.

Also check out the Least Common Multiple of 82925 and 82931