What is the Greatest Common Factor of 37058 and 37074?

Greatest common factor (GCF) of 37058 and 37074 is 2.

GCF(37058,37074) = 2

We will now calculate the prime factors of 37058 and 37074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37058 and 37074.

How to find the GCF of 37058 and 37074?

We will first find the prime factorization of 37058 and 37074. After we will calculate the factors of 37058 and 37074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37074

Prime factors of 37074 are 2, 3, 37, 167. Prime factorization of 37074 in exponential form is:

37074 = 2¹ × 3¹ × 37¹ × 167¹

Step-3: Factors of 37058

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

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

Step-4: Factors of 37074

List of positive integer factors of 37074 that divides 37058 without a remainder.

1, 2, 3, 6, 37, 74, 111, 167, 222, 334, 501, 1002, 6179, 12358, 18537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37058 and 37074. The biggest common factor number is the GCF number.
So the greatest common factor 37058 and 37074 is 2.

Also check out the Least Common Multiple of 37058 and 37074