What is the Greatest Common Factor of 37072 and 37084?

Greatest common factor (GCF) of 37072 and 37084 is 4.

GCF(37072,37084) = 4

We will now calculate the prime factors of 37072 and 37084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37072 and 37084.

How to find the GCF of 37072 and 37084?

We will first find the prime factorization of 37072 and 37084. After we will calculate the factors of 37072 and 37084 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 37084

Prime factors of 37084 are 2, 73, 127. Prime factorization of 37084 in exponential form is:

37084 = 2² × 73¹ × 127¹

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 37084

List of positive integer factors of 37084 that divides 37072 without a remainder.

1, 2, 4, 73, 127, 146, 254, 292, 508, 9271, 18542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37072 and 37084. The biggest common factor number is the GCF number.
So the greatest common factor 37072 and 37084 is 4.

Also check out the Least Common Multiple of 37072 and 37084