What is the Greatest Common Factor of 87357 and 87372?

Greatest common factor (GCF) of 87357 and 87372 is 3.

GCF(87357,87372) = 3

We will now calculate the prime factors of 87357 and 87372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87357 and 87372.

How to find the GCF of 87357 and 87372?

We will first find the prime factorization of 87357 and 87372. After we will calculate the factors of 87357 and 87372 and find the biggest common factor number .

Step-1: Prime Factorization of 87357

Prime factors of 87357 are 3, 37, 787. Prime factorization of 87357 in exponential form is:

87357 = 3¹ × 37¹ × 787¹

Step-2: Prime Factorization of 87372

Prime factors of 87372 are 2, 3, 809. Prime factorization of 87372 in exponential form is:

87372 = 2² × 3³ × 809¹

Step-3: Factors of 87357

List of positive integer factors of 87357 that divides 87357 without a remainder.

1, 3, 37, 111, 787, 2361, 29119

Step-4: Factors of 87372

List of positive integer factors of 87372 that divides 87357 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 809, 1618, 2427, 3236, 4854, 7281, 9708, 14562, 21843, 29124, 43686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87357 and 87372. The biggest common factor number is the GCF number.
So the greatest common factor 87357 and 87372 is 3.

Also check out the Least Common Multiple of 87357 and 87372