What is the Greatest Common Factor of 56620 and 56624?

Greatest common factor (GCF) of 56620 and 56624 is 4.

GCF(56620,56624) = 4

We will now calculate the prime factors of 56620 and 56624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56620 and 56624.

How to find the GCF of 56620 and 56624?

We will first find the prime factorization of 56620 and 56624. After we will calculate the factors of 56620 and 56624 and find the biggest common factor number .

Step-1: Prime Factorization of 56620

Prime factors of 56620 are 2, 5, 19, 149. Prime factorization of 56620 in exponential form is:

56620 = 2² × 5¹ × 19¹ × 149¹

Step-2: Prime Factorization of 56624

Prime factors of 56624 are 2, 3539. Prime factorization of 56624 in exponential form is:

56624 = 2⁴ × 3539¹

Step-3: Factors of 56620

List of positive integer factors of 56620 that divides 56620 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 149, 190, 298, 380, 596, 745, 1490, 2831, 2980, 5662, 11324, 14155, 28310

Step-4: Factors of 56624

List of positive integer factors of 56624 that divides 56620 without a remainder.

1, 2, 4, 8, 16, 3539, 7078, 14156, 28312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56620 and 56624. The biggest common factor number is the GCF number.
So the greatest common factor 56620 and 56624 is 4.

Also check out the Least Common Multiple of 56620 and 56624