What is the Greatest Common Factor of 37072 and 37088?

Greatest common factor (GCF) of 37072 and 37088 is 16.

GCF(37072,37088) = 16

We will now calculate the prime factors of 37072 and 37088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37072 and 37088.

How to find the GCF of 37072 and 37088?

We will first find the prime factorization of 37072 and 37088. After we will calculate the factors of 37072 and 37088 and find the biggest common factor number .

Step-1: Prime Factorization of 37072

Prime factors of 37072 are 2, 7, 331. Prime factorization of 37072 in exponential form is:

37072 = 2⁴ × 7¹ × 331¹

Step-2: 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-3: Factors of 37072

List of positive integer factors of 37072 that divides 37072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 331, 662, 1324, 2317, 2648, 4634, 5296, 9268, 18536

Step-4: Factors of 37088

List of positive integer factors of 37088 that divides 37072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37072 and 37088. The biggest common factor number is the GCF number.
So the greatest common factor 37072 and 37088 is 16.

Also check out the Least Common Multiple of 37072 and 37088