What is the Greatest Common Factor of 87399 and 87414?

Greatest common factor (GCF) of 87399 and 87414 is 3.

GCF(87399,87414) = 3

We will now calculate the prime factors of 87399 and 87414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87399 and 87414.

How to find the GCF of 87399 and 87414?

We will first find the prime factorization of 87399 and 87414. After we will calculate the factors of 87399 and 87414 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 87414

Prime factors of 87414 are 2, 3, 17, 857. Prime factorization of 87414 in exponential form is:

87414 = 2¹ × 3¹ × 17¹ × 857¹

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 87414

List of positive integer factors of 87414 that divides 87399 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 857, 1714, 2571, 5142, 14569, 29138, 43707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87399 and 87414. The biggest common factor number is the GCF number.
So the greatest common factor 87399 and 87414 is 3.

Also check out the Least Common Multiple of 87399 and 87414