What is the Greatest Common Factor of 37954 and 37961?

Greatest common factor (GCF) of 37954 and 37961 is 7.

GCF(37954,37961) = 7

We will now calculate the prime factors of 37954 and 37961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37954 and 37961.

How to find the GCF of 37954 and 37961?

We will first find the prime factorization of 37954 and 37961. After we will calculate the factors of 37954 and 37961 and find the biggest common factor number .

Step-1: Prime Factorization of 37954

Prime factors of 37954 are 2, 7, 2711. Prime factorization of 37954 in exponential form is:

37954 = 2¹ × 7¹ × 2711¹

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 37954

List of positive integer factors of 37954 that divides 37954 without a remainder.

1, 2, 7, 14, 2711, 5422, 18977

Step-4: Factors of 37961

List of positive integer factors of 37961 that divides 37954 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 37954 and 37961. The biggest common factor number is the GCF number.
So the greatest common factor 37954 and 37961 is 7.

Also check out the Least Common Multiple of 37954 and 37961