What is the Greatest Common Factor of 37934 and 37947?

Greatest common factor (GCF) of 37934 and 37947 is 13.

GCF(37934,37947) = 13

We will now calculate the prime factors of 37934 and 37947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37934 and 37947.

How to find the GCF of 37934 and 37947?

We will first find the prime factorization of 37934 and 37947. After we will calculate the factors of 37934 and 37947 and find the biggest common factor number .

Step-1: Prime Factorization of 37934

Prime factors of 37934 are 2, 13, 1459. Prime factorization of 37934 in exponential form is:

37934 = 2¹ × 13¹ × 1459¹

Step-2: Prime Factorization of 37947

Prime factors of 37947 are 3, 7, 13, 139. Prime factorization of 37947 in exponential form is:

37947 = 3¹ × 7¹ × 13¹ × 139¹

Step-3: Factors of 37934

List of positive integer factors of 37934 that divides 37934 without a remainder.

1, 2, 13, 26, 1459, 2918, 18967

Step-4: Factors of 37947

List of positive integer factors of 37947 that divides 37934 without a remainder.

1, 3, 7, 13, 21, 39, 91, 139, 273, 417, 973, 1807, 2919, 5421, 12649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37934 and 37947. The biggest common factor number is the GCF number.
So the greatest common factor 37934 and 37947 is 13.

Also check out the Least Common Multiple of 37934 and 37947