What is the Greatest Common Factor of 87399 and 87412?

Greatest common factor (GCF) of 87399 and 87412 is 13.

GCF(87399,87412) = 13

We will now calculate the prime factors of 87399 and 87412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87399 and 87412.

How to find the GCF of 87399 and 87412?

We will first find the prime factorization of 87399 and 87412. After we will calculate the factors of 87399 and 87412 and find the biggest common factor number .

Step-1: Prime Factorization of 87399

Prime factors of 87399 are 3, 13, 83. Prime factorization of 87399 in exponential form is:

87399 = 3⁴ × 13¹ × 83¹

Step-2: Prime Factorization of 87412

Prime factors of 87412 are 2, 13, 41. Prime factorization of 87412 in exponential form is:

87412 = 2² × 13¹ × 41²

Step-3: Factors of 87399

List of positive integer factors of 87399 that divides 87399 without a remainder.

1, 3, 9, 13, 27, 39, 81, 83, 117, 249, 351, 747, 1053, 1079, 2241, 3237, 6723, 9711, 29133

Step-4: Factors of 87412

List of positive integer factors of 87412 that divides 87399 without a remainder.

1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 1681, 2132, 3362, 6724, 21853, 43706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87399 and 87412. The biggest common factor number is the GCF number.
So the greatest common factor 87399 and 87412 is 13.

Also check out the Least Common Multiple of 87399 and 87412