What is the Greatest Common Factor of 87348 and 87352?

Greatest common factor (GCF) of 87348 and 87352 is 4.

GCF(87348,87352) = 4

We will now calculate the prime factors of 87348 and 87352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87348 and 87352.

How to find the GCF of 87348 and 87352?

We will first find the prime factorization of 87348 and 87352. After we will calculate the factors of 87348 and 87352 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 87352

Prime factors of 87352 are 2, 61, 179. Prime factorization of 87352 in exponential form is:

87352 = 2³ × 61¹ × 179¹

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 87352

List of positive integer factors of 87352 that divides 87348 without a remainder.

1, 2, 4, 8, 61, 122, 179, 244, 358, 488, 716, 1432, 10919, 21838, 43676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87348 and 87352. The biggest common factor number is the GCF number.
So the greatest common factor 87348 and 87352 is 4.

Also check out the Least Common Multiple of 87348 and 87352