What is the Greatest Common Factor of 86921 and 86938?

Greatest common factor (GCF) of 86921 and 86938 is 17.

GCF(86921,86938) = 17

We will now calculate the prime factors of 86921 and 86938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86921 and 86938.

How to find the GCF of 86921 and 86938?

We will first find the prime factorization of 86921 and 86938. After we will calculate the factors of 86921 and 86938 and find the biggest common factor number .

Step-1: Prime Factorization of 86921

Prime factors of 86921 are 17, 5113. Prime factorization of 86921 in exponential form is:

86921 = 17¹ × 5113¹

Step-2: Prime Factorization of 86938

Prime factors of 86938 are 2, 17, 2557. Prime factorization of 86938 in exponential form is:

86938 = 2¹ × 17¹ × 2557¹

Step-3: Factors of 86921

List of positive integer factors of 86921 that divides 86921 without a remainder.

1, 17, 5113

Step-4: Factors of 86938

List of positive integer factors of 86938 that divides 86921 without a remainder.

1, 2, 17, 34, 2557, 5114, 43469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86921 and 86938. The biggest common factor number is the GCF number.
So the greatest common factor 86921 and 86938 is 17.

Also check out the Least Common Multiple of 86921 and 86938