What is the Greatest Common Factor of 37941 and 37961?

Greatest common factor (GCF) of 37941 and 37961 is 1.

GCF(37941,37961) = 1

We will now calculate the prime factors of 37941 and 37961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37941 and 37961.

How to find the GCF of 37941 and 37961?

We will first find the prime factorization of 37941 and 37961. After we will calculate the factors of 37941 and 37961 and find the biggest common factor number .

Step-1: Prime Factorization of 37941

Prime factors of 37941 are 3, 12647. Prime factorization of 37941 in exponential form is:

37941 = 3¹ × 12647¹

Step-2: Prime Factorization of 37961

Prime factors of 37961 are 7, 11, 17, 29. Prime factorization of 37961 in exponential form is:

37961 = 7¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 37941

List of positive integer factors of 37941 that divides 37941 without a remainder.

1, 3, 12647

Step-4: Factors of 37961

List of positive integer factors of 37961 that divides 37941 without a remainder.

1, 7, 11, 17, 29, 77, 119, 187, 203, 319, 493, 1309, 2233, 3451, 5423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37941 and 37961. The biggest common factor number is the GCF number.
So the greatest common factor 37941 and 37961 is 1.

Also check out the Least Common Multiple of 37941 and 37961