What is the Greatest Common Factor of 87812 and 87828?

Greatest common factor (GCF) of 87812 and 87828 is 4.

GCF(87812,87828) = 4

We will now calculate the prime factors of 87812 and 87828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87812 and 87828.

How to find the GCF of 87812 and 87828?

We will first find the prime factorization of 87812 and 87828. After we will calculate the factors of 87812 and 87828 and find the biggest common factor number .

Step-1: Prime Factorization of 87812

Prime factors of 87812 are 2, 29, 757. Prime factorization of 87812 in exponential form is:

87812 = 2² × 29¹ × 757¹

Step-2: Prime Factorization of 87828

Prime factors of 87828 are 2, 3, 13, 563. Prime factorization of 87828 in exponential form is:

87828 = 2² × 3¹ × 13¹ × 563¹

Step-3: Factors of 87812

List of positive integer factors of 87812 that divides 87812 without a remainder.

1, 2, 4, 29, 58, 116, 757, 1514, 3028, 21953, 43906

Step-4: Factors of 87828

List of positive integer factors of 87828 that divides 87812 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 563, 1126, 1689, 2252, 3378, 6756, 7319, 14638, 21957, 29276, 43914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87812 and 87828. The biggest common factor number is the GCF number.
So the greatest common factor 87812 and 87828 is 4.

Also check out the Least Common Multiple of 87812 and 87828