What is the Greatest Common Factor of 87512 and 87532?

Greatest common factor (GCF) of 87512 and 87532 is 4.

GCF(87512,87532) = 4

We will now calculate the prime factors of 87512 and 87532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87512 and 87532.

How to find the GCF of 87512 and 87532?

We will first find the prime factorization of 87512 and 87532. After we will calculate the factors of 87512 and 87532 and find the biggest common factor number .

Step-1: Prime Factorization of 87512

Prime factors of 87512 are 2, 10939. Prime factorization of 87512 in exponential form is:

87512 = 2³ × 10939¹

Step-2: Prime Factorization of 87532

Prime factors of 87532 are 2, 79, 277. Prime factorization of 87532 in exponential form is:

87532 = 2² × 79¹ × 277¹

Step-3: Factors of 87512

List of positive integer factors of 87512 that divides 87512 without a remainder.

1, 2, 4, 8, 10939, 21878, 43756

Step-4: Factors of 87532

List of positive integer factors of 87532 that divides 87512 without a remainder.

1, 2, 4, 79, 158, 277, 316, 554, 1108, 21883, 43766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87512 and 87532. The biggest common factor number is the GCF number.
So the greatest common factor 87512 and 87532 is 4.

Also check out the Least Common Multiple of 87512 and 87532