What is the Greatest Common Factor of 37548 and 37558?

Greatest common factor (GCF) of 37548 and 37558 is 2.

GCF(37548,37558) = 2

We will now calculate the prime factors of 37548 and 37558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37548 and 37558.

How to find the GCF of 37548 and 37558?

We will first find the prime factorization of 37548 and 37558. After we will calculate the factors of 37548 and 37558 and find the biggest common factor number .

Step-1: Prime Factorization of 37548

Prime factors of 37548 are 2, 3, 7, 149. Prime factorization of 37548 in exponential form is:

37548 = 2² × 3² × 7¹ × 149¹

Step-2: 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-3: Factors of 37548

List of positive integer factors of 37548 that divides 37548 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 149, 252, 298, 447, 596, 894, 1043, 1341, 1788, 2086, 2682, 3129, 4172, 5364, 6258, 9387, 12516, 18774

Step-4: Factors of 37558

List of positive integer factors of 37558 that divides 37548 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37548 and 37558. The biggest common factor number is the GCF number.
So the greatest common factor 37548 and 37558 is 2.

Also check out the Least Common Multiple of 37548 and 37558