What is the Greatest Common Factor of 86938 and 86955?

Greatest common factor (GCF) of 86938 and 86955 is 17.

GCF(86938,86955) = 17

We will now calculate the prime factors of 86938 and 86955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86938 and 86955.

How to find the GCF of 86938 and 86955?

We will first find the prime factorization of 86938 and 86955. After we will calculate the factors of 86938 and 86955 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86955

Prime factors of 86955 are 3, 5, 11, 17, 31. Prime factorization of 86955 in exponential form is:

86955 = 3¹ × 5¹ × 11¹ × 17¹ × 31¹

Step-3: Factors of 86938

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

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

Step-4: Factors of 86955

List of positive integer factors of 86955 that divides 86938 without a remainder.

1, 3, 5, 11, 15, 17, 31, 33, 51, 55, 85, 93, 155, 165, 187, 255, 341, 465, 527, 561, 935, 1023, 1581, 1705, 2635, 2805, 5115, 5797, 7905, 17391, 28985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86938 and 86955. The biggest common factor number is the GCF number.
So the greatest common factor 86938 and 86955 is 17.

Also check out the Least Common Multiple of 86938 and 86955