What is the Greatest Common Factor of 37380 and 37397?

Greatest common factor (GCF) of 37380 and 37397 is 1.

GCF(37380,37397) = 1

We will now calculate the prime factors of 37380 and 37397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37380 and 37397.

How to find the GCF of 37380 and 37397?

We will first find the prime factorization of 37380 and 37397. After we will calculate the factors of 37380 and 37397 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 37397

Prime factors of 37397 are 37397. Prime factorization of 37397 in exponential form is:

37397 = 37397¹

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 37397

List of positive integer factors of 37397 that divides 37380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37380 and 37397. The biggest common factor number is the GCF number.
So the greatest common factor 37380 and 37397 is 1.

Also check out the Least Common Multiple of 37380 and 37397