What is the Greatest Common Factor of 37024 and 37028?

Greatest common factor (GCF) of 37024 and 37028 is 4.

GCF(37024,37028) = 4

We will now calculate the prime factors of 37024 and 37028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37024 and 37028.

How to find the GCF of 37024 and 37028?

We will first find the prime factorization of 37024 and 37028. After we will calculate the factors of 37024 and 37028 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37028

Prime factors of 37028 are 2, 9257. Prime factorization of 37028 in exponential form is:

37028 = 2² × 9257¹

Step-3: Factors of 37024

List of positive integer factors of 37024 that divides 37024 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

Step-4: Factors of 37028

List of positive integer factors of 37028 that divides 37024 without a remainder.

1, 2, 4, 9257, 18514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37024 and 37028. The biggest common factor number is the GCF number.
So the greatest common factor 37024 and 37028 is 4.

Also check out the Least Common Multiple of 37024 and 37028