What is the Greatest Common Factor of 37914 and 37932?

Greatest common factor (GCF) of 37914 and 37932 is 6.

GCF(37914,37932) = 6

We will now calculate the prime factors of 37914 and 37932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37914 and 37932.

How to find the GCF of 37914 and 37932?

We will first find the prime factorization of 37914 and 37932. After we will calculate the factors of 37914 and 37932 and find the biggest common factor number .

Step-1: Prime Factorization of 37914

Prime factors of 37914 are 2, 3, 71, 89. Prime factorization of 37914 in exponential form is:

37914 = 2¹ × 3¹ × 71¹ × 89¹

Step-2: Prime Factorization of 37932

Prime factors of 37932 are 2, 3, 29, 109. Prime factorization of 37932 in exponential form is:

37932 = 2² × 3¹ × 29¹ × 109¹

Step-3: Factors of 37914

List of positive integer factors of 37914 that divides 37914 without a remainder.

1, 2, 3, 6, 71, 89, 142, 178, 213, 267, 426, 534, 6319, 12638, 18957

Step-4: Factors of 37932

List of positive integer factors of 37932 that divides 37914 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 109, 116, 174, 218, 327, 348, 436, 654, 1308, 3161, 6322, 9483, 12644, 18966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37914 and 37932. The biggest common factor number is the GCF number.
So the greatest common factor 37914 and 37932 is 6.

Also check out the Least Common Multiple of 37914 and 37932