What is the Greatest Common Factor of 87348 and 87354?

Greatest common factor (GCF) of 87348 and 87354 is 6.

GCF(87348,87354) = 6

We will now calculate the prime factors of 87348 and 87354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87348 and 87354.

How to find the GCF of 87348 and 87354?

We will first find the prime factorization of 87348 and 87354. After we will calculate the factors of 87348 and 87354 and find the biggest common factor number .

Step-1: Prime Factorization of 87348

Prime factors of 87348 are 2, 3, 29, 251. Prime factorization of 87348 in exponential form is:

87348 = 2² × 3¹ × 29¹ × 251¹

Step-2: 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-3: Factors of 87348

List of positive integer factors of 87348 that divides 87348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 251, 348, 502, 753, 1004, 1506, 3012, 7279, 14558, 21837, 29116, 43674

Step-4: Factors of 87354

List of positive integer factors of 87354 that divides 87348 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87348 and 87354. The biggest common factor number is the GCF number.
So the greatest common factor 87348 and 87354 is 6.

Also check out the Least Common Multiple of 87348 and 87354