What is the Greatest Common Factor of 87820 and 87824?

Greatest common factor (GCF) of 87820 and 87824 is 4.

GCF(87820,87824) = 4

We will now calculate the prime factors of 87820 and 87824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87820 and 87824.

How to find the GCF of 87820 and 87824?

We will first find the prime factorization of 87820 and 87824. After we will calculate the factors of 87820 and 87824 and find the biggest common factor number .

Step-1: Prime Factorization of 87820

Prime factors of 87820 are 2, 5, 4391. Prime factorization of 87820 in exponential form is:

87820 = 2² × 5¹ × 4391¹

Step-2: 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-3: Factors of 87820

List of positive integer factors of 87820 that divides 87820 without a remainder.

1, 2, 4, 5, 10, 20, 4391, 8782, 17564, 21955, 43910

Step-4: Factors of 87824

List of positive integer factors of 87824 that divides 87820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87820 and 87824. The biggest common factor number is the GCF number.
So the greatest common factor 87820 and 87824 is 4.

Also check out the Least Common Multiple of 87820 and 87824