What is the Greatest Common Factor of 87354 and 87372?

Greatest common factor (GCF) of 87354 and 87372 is 18.

GCF(87354,87372) = 18

We will now calculate the prime factors of 87354 and 87372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87354 and 87372.

How to find the GCF of 87354 and 87372?

We will first find the prime factorization of 87354 and 87372. After we will calculate the factors of 87354 and 87372 and find the biggest common factor number .

Step-1: Prime Factorization of 87354

Prime factors of 87354 are 2, 3, 23, 211. Prime factorization of 87354 in exponential form is:

87354 = 2¹ × 3² × 23¹ × 211¹

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 87354

List of positive integer factors of 87354 that divides 87354 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 211, 414, 422, 633, 1266, 1899, 3798, 4853, 9706, 14559, 29118, 43677

Step-4: Factors of 87372

List of positive integer factors of 87372 that divides 87354 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 87354 and 87372. The biggest common factor number is the GCF number.
So the greatest common factor 87354 and 87372 is 18.

Also check out the Least Common Multiple of 87354 and 87372