What is the Greatest Common Factor of 37948 and 37967?

Greatest common factor (GCF) of 37948 and 37967 is 1.

GCF(37948,37967) = 1

We will now calculate the prime factors of 37948 and 37967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37948 and 37967.

How to find the GCF of 37948 and 37967?

We will first find the prime factorization of 37948 and 37967. After we will calculate the factors of 37948 and 37967 and find the biggest common factor number .

Step-1: Prime Factorization of 37948

Prime factors of 37948 are 2, 53, 179. Prime factorization of 37948 in exponential form is:

37948 = 2² × 53¹ × 179¹

Step-2: Prime Factorization of 37967

Prime factors of 37967 are 37967. Prime factorization of 37967 in exponential form is:

37967 = 37967¹

Step-3: Factors of 37948

List of positive integer factors of 37948 that divides 37948 without a remainder.

1, 2, 4, 53, 106, 179, 212, 358, 716, 9487, 18974

Step-4: Factors of 37967

List of positive integer factors of 37967 that divides 37948 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37948 and 37967. The biggest common factor number is the GCF number.
So the greatest common factor 37948 and 37967 is 1.

Also check out the Least Common Multiple of 37948 and 37967