What is the Greatest Common Factor of 86765 and 86772?

Greatest common factor (GCF) of 86765 and 86772 is 7.

GCF(86765,86772) = 7

We will now calculate the prime factors of 86765 and 86772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86765 and 86772.

How to find the GCF of 86765 and 86772?

We will first find the prime factorization of 86765 and 86772. After we will calculate the factors of 86765 and 86772 and find the biggest common factor number .

Step-1: Prime Factorization of 86765

Prime factors of 86765 are 5, 7, 37, 67. Prime factorization of 86765 in exponential form is:

86765 = 5¹ × 7¹ × 37¹ × 67¹

Step-2: Prime Factorization of 86772

Prime factors of 86772 are 2, 3, 7, 1033. Prime factorization of 86772 in exponential form is:

86772 = 2² × 3¹ × 7¹ × 1033¹

Step-3: Factors of 86765

List of positive integer factors of 86765 that divides 86765 without a remainder.

1, 5, 7, 35, 37, 67, 185, 259, 335, 469, 1295, 2345, 2479, 12395, 17353

Step-4: Factors of 86772

List of positive integer factors of 86772 that divides 86765 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1033, 2066, 3099, 4132, 6198, 7231, 12396, 14462, 21693, 28924, 43386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86765 and 86772. The biggest common factor number is the GCF number.
So the greatest common factor 86765 and 86772 is 7.

Also check out the Least Common Multiple of 86765 and 86772