What is the Greatest Common Factor of 86376 and 86396?

Greatest common factor (GCF) of 86376 and 86396 is 4.

GCF(86376,86396) = 4

We will now calculate the prime factors of 86376 and 86396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86376 and 86396.

How to find the GCF of 86376 and 86396?

We will first find the prime factorization of 86376 and 86396. After we will calculate the factors of 86376 and 86396 and find the biggest common factor number .

Step-1: Prime Factorization of 86376

Prime factors of 86376 are 2, 3, 59, 61. Prime factorization of 86376 in exponential form is:

86376 = 2³ × 3¹ × 59¹ × 61¹

Step-2: Prime Factorization of 86396

Prime factors of 86396 are 2, 21599. Prime factorization of 86396 in exponential form is:

86396 = 2² × 21599¹

Step-3: Factors of 86376

List of positive integer factors of 86376 that divides 86376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 61, 118, 122, 177, 183, 236, 244, 354, 366, 472, 488, 708, 732, 1416, 1464, 3599, 7198, 10797, 14396, 21594, 28792, 43188

Step-4: Factors of 86396

List of positive integer factors of 86396 that divides 86376 without a remainder.

1, 2, 4, 21599, 43198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86376 and 86396. The biggest common factor number is the GCF number.
So the greatest common factor 86376 and 86396 is 4.

Also check out the Least Common Multiple of 86376 and 86396