What is the Greatest Common Factor of 37048 and 37058?

Greatest common factor (GCF) of 37048 and 37058 is 2.

GCF(37048,37058) = 2

We will now calculate the prime factors of 37048 and 37058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37048 and 37058.

How to find the GCF of 37048 and 37058?

We will first find the prime factorization of 37048 and 37058. After we will calculate the factors of 37048 and 37058 and find the biggest common factor number .

Step-1: Prime Factorization of 37048

Prime factors of 37048 are 2, 11, 421. Prime factorization of 37048 in exponential form is:

37048 = 2³ × 11¹ × 421¹

Step-2: Prime Factorization of 37058

Prime factors of 37058 are 2, 7, 2647. Prime factorization of 37058 in exponential form is:

37058 = 2¹ × 7¹ × 2647¹

Step-3: Factors of 37048

List of positive integer factors of 37048 that divides 37048 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 421, 842, 1684, 3368, 4631, 9262, 18524

Step-4: Factors of 37058

List of positive integer factors of 37058 that divides 37048 without a remainder.

1, 2, 7, 14, 2647, 5294, 18529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37048 and 37058. The biggest common factor number is the GCF number.
So the greatest common factor 37048 and 37058 is 2.

Also check out the Least Common Multiple of 37048 and 37058