What is the Greatest Common Factor of 37280 and 37300?

Greatest common factor (GCF) of 37280 and 37300 is 20.

GCF(37280,37300) = 20

We will now calculate the prime factors of 37280 and 37300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37280 and 37300.

How to find the GCF of 37280 and 37300?

We will first find the prime factorization of 37280 and 37300. After we will calculate the factors of 37280 and 37300 and find the biggest common factor number .

Step-1: Prime Factorization of 37280

Prime factors of 37280 are 2, 5, 233. Prime factorization of 37280 in exponential form is:

37280 = 2⁵ × 5¹ × 233¹

Step-2: Prime Factorization of 37300

Prime factors of 37300 are 2, 5, 373. Prime factorization of 37300 in exponential form is:

37300 = 2² × 5² × 373¹

Step-3: Factors of 37280

List of positive integer factors of 37280 that divides 37280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 233, 466, 932, 1165, 1864, 2330, 3728, 4660, 7456, 9320, 18640

Step-4: Factors of 37300

List of positive integer factors of 37300 that divides 37280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 373, 746, 1492, 1865, 3730, 7460, 9325, 18650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37280 and 37300. The biggest common factor number is the GCF number.
So the greatest common factor 37280 and 37300 is 20.

Also check out the Least Common Multiple of 37280 and 37300