What is the Greatest Common Factor of 37961 and 37975?

Greatest common factor (GCF) of 37961 and 37975 is 7.

GCF(37961,37975) = 7

We will now calculate the prime factors of 37961 and 37975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37961 and 37975.

How to find the GCF of 37961 and 37975?

We will first find the prime factorization of 37961 and 37975. After we will calculate the factors of 37961 and 37975 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37975

Prime factors of 37975 are 5, 7, 31. Prime factorization of 37975 in exponential form is:

37975 = 5² × 7² × 31¹

Step-3: Factors of 37961

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

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

Step-4: Factors of 37975

List of positive integer factors of 37975 that divides 37961 without a remainder.

1, 5, 7, 25, 31, 35, 49, 155, 175, 217, 245, 775, 1085, 1225, 1519, 5425, 7595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37961 and 37975. The biggest common factor number is the GCF number.
So the greatest common factor 37961 and 37975 is 7.

Also check out the Least Common Multiple of 37961 and 37975