What is the Greatest Common Factor of 37142 and 37148?

Greatest common factor (GCF) of 37142 and 37148 is 2.

GCF(37142,37148) = 2

We will now calculate the prime factors of 37142 and 37148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37142 and 37148.

How to find the GCF of 37142 and 37148?

We will first find the prime factorization of 37142 and 37148. After we will calculate the factors of 37142 and 37148 and find the biggest common factor number .

Step-1: Prime Factorization of 37142

Prime factors of 37142 are 2, 7, 379. Prime factorization of 37142 in exponential form is:

37142 = 2¹ × 7² × 379¹

Step-2: Prime Factorization of 37148

Prime factors of 37148 are 2, 37, 251. Prime factorization of 37148 in exponential form is:

37148 = 2² × 37¹ × 251¹

Step-3: Factors of 37142

List of positive integer factors of 37142 that divides 37142 without a remainder.

1, 2, 7, 14, 49, 98, 379, 758, 2653, 5306, 18571

Step-4: Factors of 37148

List of positive integer factors of 37148 that divides 37142 without a remainder.

1, 2, 4, 37, 74, 148, 251, 502, 1004, 9287, 18574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37142 and 37148. The biggest common factor number is the GCF number.
So the greatest common factor 37142 and 37148 is 2.

Also check out the Least Common Multiple of 37142 and 37148