What is the Greatest Common Factor of 87236 and 87252?

Greatest common factor (GCF) of 87236 and 87252 is 4.

GCF(87236,87252) = 4

We will now calculate the prime factors of 87236 and 87252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87236 and 87252.

How to find the GCF of 87236 and 87252?

We will first find the prime factorization of 87236 and 87252. After we will calculate the factors of 87236 and 87252 and find the biggest common factor number .

Step-1: Prime Factorization of 87236

Prime factors of 87236 are 2, 113, 193. Prime factorization of 87236 in exponential form is:

87236 = 2² × 113¹ × 193¹

Step-2: Prime Factorization of 87252

Prime factors of 87252 are 2, 3, 11, 661. Prime factorization of 87252 in exponential form is:

87252 = 2² × 3¹ × 11¹ × 661¹

Step-3: Factors of 87236

List of positive integer factors of 87236 that divides 87236 without a remainder.

1, 2, 4, 113, 193, 226, 386, 452, 772, 21809, 43618

Step-4: Factors of 87252

List of positive integer factors of 87252 that divides 87236 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 661, 1322, 1983, 2644, 3966, 7271, 7932, 14542, 21813, 29084, 43626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87236 and 87252. The biggest common factor number is the GCF number.
So the greatest common factor 87236 and 87252 is 4.

Also check out the Least Common Multiple of 87236 and 87252