What is the Greatest Common Factor of 87824 and 87828?

Greatest common factor (GCF) of 87824 and 87828 is 4.

GCF(87824,87828) = 4

We will now calculate the prime factors of 87824 and 87828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87824 and 87828.

How to find the GCF of 87824 and 87828?

We will first find the prime factorization of 87824 and 87828. After we will calculate the factors of 87824 and 87828 and find the biggest common factor number .

Step-1: Prime Factorization of 87824

Prime factors of 87824 are 2, 11, 499. Prime factorization of 87824 in exponential form is:

87824 = 2⁴ × 11¹ × 499¹

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 87824

List of positive integer factors of 87824 that divides 87824 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 499, 998, 1996, 3992, 5489, 7984, 10978, 21956, 43912

Step-4: Factors of 87828

List of positive integer factors of 87828 that divides 87824 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 87824 and 87828. The biggest common factor number is the GCF number.
So the greatest common factor 87824 and 87828 is 4.

Also check out the Least Common Multiple of 87824 and 87828