What is the Greatest Common Factor of 37948 and 37963?

Greatest common factor (GCF) of 37948 and 37963 is 1.

GCF(37948,37963) = 1

We will now calculate the prime factors of 37948 and 37963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37948 and 37963.

How to find the GCF of 37948 and 37963?

We will first find the prime factorization of 37948 and 37963. After we will calculate the factors of 37948 and 37963 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 37963

Prime factors of 37963 are 37963. Prime factorization of 37963 in exponential form is:

37963 = 37963¹

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 37963

List of positive integer factors of 37963 that divides 37948 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37948 and 37963. The biggest common factor number is the GCF number.
So the greatest common factor 37948 and 37963 is 1.

Also check out the Least Common Multiple of 37948 and 37963