What is the Greatest Common Factor of 37380 and 37398?

Greatest common factor (GCF) of 37380 and 37398 is 6.

GCF(37380,37398) = 6

We will now calculate the prime factors of 37380 and 37398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37380 and 37398.

How to find the GCF of 37380 and 37398?

We will first find the prime factorization of 37380 and 37398. After we will calculate the factors of 37380 and 37398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37398

Prime factors of 37398 are 2, 3, 23, 271. Prime factorization of 37398 in exponential form is:

37398 = 2¹ × 3¹ × 23¹ × 271¹

Step-3: Factors of 37380

List of positive integer factors of 37380 that divides 37380 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

Step-4: Factors of 37398

List of positive integer factors of 37398 that divides 37380 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 271, 542, 813, 1626, 6233, 12466, 18699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37380 and 37398. The biggest common factor number is the GCF number.
So the greatest common factor 37380 and 37398 is 6.

Also check out the Least Common Multiple of 37380 and 37398