What is the Greatest Common Factor of 37940 and 37954?

Greatest common factor (GCF) of 37940 and 37954 is 14.

GCF(37940,37954) = 14

We will now calculate the prime factors of 37940 and 37954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37940 and 37954.

How to find the GCF of 37940 and 37954?

We will first find the prime factorization of 37940 and 37954. After we will calculate the factors of 37940 and 37954 and find the biggest common factor number .

Step-1: Prime Factorization of 37940

Prime factors of 37940 are 2, 5, 7, 271. Prime factorization of 37940 in exponential form is:

37940 = 2² × 5¹ × 7¹ × 271¹

Step-2: 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-3: Factors of 37940

List of positive integer factors of 37940 that divides 37940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 271, 542, 1084, 1355, 1897, 2710, 3794, 5420, 7588, 9485, 18970

Step-4: Factors of 37954

List of positive integer factors of 37954 that divides 37940 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37940 and 37954. The biggest common factor number is the GCF number.
So the greatest common factor 37940 and 37954 is 14.

Also check out the Least Common Multiple of 37940 and 37954