What is the Greatest Common Factor of 37020 and 37024?

Greatest common factor (GCF) of 37020 and 37024 is 4.

GCF(37020,37024) = 4

We will now calculate the prime factors of 37020 and 37024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37020 and 37024.

How to find the GCF of 37020 and 37024?

We will first find the prime factorization of 37020 and 37024. After we will calculate the factors of 37020 and 37024 and find the biggest common factor number .

Step-1: Prime Factorization of 37020

Prime factors of 37020 are 2, 3, 5, 617. Prime factorization of 37020 in exponential form is:

37020 = 2² × 3¹ × 5¹ × 617¹

Step-2: Prime Factorization of 37024

Prime factors of 37024 are 2, 13, 89. Prime factorization of 37024 in exponential form is:

37024 = 2⁵ × 13¹ × 89¹

Step-3: Factors of 37020

List of positive integer factors of 37020 that divides 37020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 617, 1234, 1851, 2468, 3085, 3702, 6170, 7404, 9255, 12340, 18510

Step-4: Factors of 37024

List of positive integer factors of 37024 that divides 37020 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 89, 104, 178, 208, 356, 416, 712, 1157, 1424, 2314, 2848, 4628, 9256, 18512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37020 and 37024. The biggest common factor number is the GCF number.
So the greatest common factor 37020 and 37024 is 4.

Also check out the Least Common Multiple of 37020 and 37024