What is the Greatest Common Factor of 37274 and 37288?

Greatest common factor (GCF) of 37274 and 37288 is 2.

GCF(37274,37288) = 2

We will now calculate the prime factors of 37274 and 37288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37274 and 37288.

How to find the GCF of 37274 and 37288?

We will first find the prime factorization of 37274 and 37288. After we will calculate the factors of 37274 and 37288 and find the biggest common factor number .

Step-1: Prime Factorization of 37274

Prime factors of 37274 are 2, 18637. Prime factorization of 37274 in exponential form is:

37274 = 2¹ × 18637¹

Step-2: Prime Factorization of 37288

Prime factors of 37288 are 2, 59, 79. Prime factorization of 37288 in exponential form is:

37288 = 2³ × 59¹ × 79¹

Step-3: Factors of 37274

List of positive integer factors of 37274 that divides 37274 without a remainder.

1, 2, 18637

Step-4: Factors of 37288

List of positive integer factors of 37288 that divides 37274 without a remainder.

1, 2, 4, 8, 59, 79, 118, 158, 236, 316, 472, 632, 4661, 9322, 18644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37274 and 37288. The biggest common factor number is the GCF number.
So the greatest common factor 37274 and 37288 is 2.

Also check out the Least Common Multiple of 37274 and 37288