What is the Greatest Common Factor of 37380 and 37385?

Greatest common factor (GCF) of 37380 and 37385 is 5.

GCF(37380,37385) = 5

We will now calculate the prime factors of 37380 and 37385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37380 and 37385.

How to find the GCF of 37380 and 37385?

We will first find the prime factorization of 37380 and 37385. After we will calculate the factors of 37380 and 37385 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 37385

Prime factors of 37385 are 5, 7477. Prime factorization of 37385 in exponential form is:

37385 = 5¹ × 7477¹

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 37385

List of positive integer factors of 37385 that divides 37380 without a remainder.

1, 5, 7477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37380 and 37385. The biggest common factor number is the GCF number.
So the greatest common factor 37380 and 37385 is 5.

Also check out the Least Common Multiple of 37380 and 37385