What is the Greatest Common Factor of 37374 and 37380?

Greatest common factor (GCF) of 37374 and 37380 is 6.

GCF(37374,37380) = 6

We will now calculate the prime factors of 37374 and 37380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37374 and 37380.

How to find the GCF of 37374 and 37380?

We will first find the prime factorization of 37374 and 37380. After we will calculate the factors of 37374 and 37380 and find the biggest common factor number .

Step-1: Prime Factorization of 37374

Prime factors of 37374 are 2, 3, 6229. Prime factorization of 37374 in exponential form is:

37374 = 2¹ × 3¹ × 6229¹

Step-2: Prime Factorization of 37380

Prime factors of 37380 are 2, 3, 5, 7, 89. Prime factorization of 37380 in exponential form is:

37380 = 2² × 3¹ × 5¹ × 7¹ × 89¹

Step-3: Factors of 37374

List of positive integer factors of 37374 that divides 37374 without a remainder.

1, 2, 3, 6, 6229, 12458, 18687

Step-4: Factors of 37380

List of positive integer factors of 37380 that divides 37374 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 89, 105, 140, 178, 210, 267, 356, 420, 445, 534, 623, 890, 1068, 1246, 1335, 1780, 1869, 2492, 2670, 3115, 3738, 5340, 6230, 7476, 9345, 12460, 18690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37374 and 37380. The biggest common factor number is the GCF number.
So the greatest common factor 37374 and 37380 is 6.

Also check out the Least Common Multiple of 37374 and 37380