What is the Greatest Common Factor of 37548 and 37562?

Greatest common factor (GCF) of 37548 and 37562 is 14.

GCF(37548,37562) = 14

We will now calculate the prime factors of 37548 and 37562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37548 and 37562.

How to find the GCF of 37548 and 37562?

We will first find the prime factorization of 37548 and 37562. After we will calculate the factors of 37548 and 37562 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 37562

Prime factors of 37562 are 2, 7, 2683. Prime factorization of 37562 in exponential form is:

37562 = 2¹ × 7¹ × 2683¹

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 37562

List of positive integer factors of 37562 that divides 37548 without a remainder.

1, 2, 7, 14, 2683, 5366, 18781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37548 and 37562. The biggest common factor number is the GCF number.
So the greatest common factor 37548 and 37562 is 14.

Also check out the Least Common Multiple of 37548 and 37562