What is the Greatest Common Factor of 37380 and 37388?

Greatest common factor (GCF) of 37380 and 37388 is 4.

GCF(37380,37388) = 4

We will now calculate the prime factors of 37380 and 37388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37380 and 37388.

How to find the GCF of 37380 and 37388?

We will first find the prime factorization of 37380 and 37388. After we will calculate the factors of 37380 and 37388 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 37388

Prime factors of 37388 are 2, 13, 719. Prime factorization of 37388 in exponential form is:

37388 = 2² × 13¹ × 719¹

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 37388

List of positive integer factors of 37388 that divides 37380 without a remainder.

1, 2, 4, 13, 26, 52, 719, 1438, 2876, 9347, 18694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37380 and 37388. The biggest common factor number is the GCF number.
So the greatest common factor 37380 and 37388 is 4.

Also check out the Least Common Multiple of 37380 and 37388