What is the Greatest Common Factor of 37088 and 37100?

Greatest common factor (GCF) of 37088 and 37100 is 4.

GCF(37088,37100) = 4

We will now calculate the prime factors of 37088 and 37100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37088 and 37100.

How to find the GCF of 37088 and 37100?

We will first find the prime factorization of 37088 and 37100. After we will calculate the factors of 37088 and 37100 and find the biggest common factor number .

Step-1: Prime Factorization of 37088

Prime factors of 37088 are 2, 19, 61. Prime factorization of 37088 in exponential form is:

37088 = 2⁵ × 19¹ × 61¹

Step-2: Prime Factorization of 37100

Prime factors of 37100 are 2, 5, 7, 53. Prime factorization of 37100 in exponential form is:

37100 = 2² × 5² × 7¹ × 53¹

Step-3: Factors of 37088

List of positive integer factors of 37088 that divides 37088 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 61, 76, 122, 152, 244, 304, 488, 608, 976, 1159, 1952, 2318, 4636, 9272, 18544

Step-4: Factors of 37100

List of positive integer factors of 37100 that divides 37088 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 53, 70, 100, 106, 140, 175, 212, 265, 350, 371, 530, 700, 742, 1060, 1325, 1484, 1855, 2650, 3710, 5300, 7420, 9275, 18550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37088 and 37100. The biggest common factor number is the GCF number.
So the greatest common factor 37088 and 37100 is 4.

Also check out the Least Common Multiple of 37088 and 37100