What is the Greatest Common Factor of 37558 and 37564?

Greatest common factor (GCF) of 37558 and 37564 is 2.

GCF(37558,37564) = 2

We will now calculate the prime factors of 37558 and 37564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37558 and 37564.

How to find the GCF of 37558 and 37564?

We will first find the prime factorization of 37558 and 37564. After we will calculate the factors of 37558 and 37564 and find the biggest common factor number .

Step-1: Prime Factorization of 37558

Prime factors of 37558 are 2, 89, 211. Prime factorization of 37558 in exponential form is:

37558 = 2¹ × 89¹ × 211¹

Step-2: Prime Factorization of 37564

Prime factors of 37564 are 2, 9391. Prime factorization of 37564 in exponential form is:

37564 = 2² × 9391¹

Step-3: Factors of 37558

List of positive integer factors of 37558 that divides 37558 without a remainder.

1, 2, 89, 178, 211, 422, 18779

Step-4: Factors of 37564

List of positive integer factors of 37564 that divides 37558 without a remainder.

1, 2, 4, 9391, 18782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37558 and 37564. The biggest common factor number is the GCF number.
So the greatest common factor 37558 and 37564 is 2.

Also check out the Least Common Multiple of 37558 and 37564