What is the Greatest Common Factor of 87399 and 87408?

Greatest common factor (GCF) of 87399 and 87408 is 9.

GCF(87399,87408) = 9

We will now calculate the prime factors of 87399 and 87408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87399 and 87408.

How to find the GCF of 87399 and 87408?

We will first find the prime factorization of 87399 and 87408. After we will calculate the factors of 87399 and 87408 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 87408

Prime factors of 87408 are 2, 3, 607. Prime factorization of 87408 in exponential form is:

87408 = 2⁴ × 3² × 607¹

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 87408

List of positive integer factors of 87408 that divides 87399 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 607, 1214, 1821, 2428, 3642, 4856, 5463, 7284, 9712, 10926, 14568, 21852, 29136, 43704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87399 and 87408. The biggest common factor number is the GCF number.
So the greatest common factor 87399 and 87408 is 9.

Also check out the Least Common Multiple of 87399 and 87408