What is the Greatest Common Factor of 37544 and 37562?

Greatest common factor (GCF) of 37544 and 37562 is 2.

GCF(37544,37562) = 2

We will now calculate the prime factors of 37544 and 37562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37544 and 37562.

How to find the GCF of 37544 and 37562?

We will first find the prime factorization of 37544 and 37562. After we will calculate the factors of 37544 and 37562 and find the biggest common factor number .

Step-1: Prime Factorization of 37544

Prime factors of 37544 are 2, 13, 19. Prime factorization of 37544 in exponential form is:

37544 = 2³ × 13¹ × 19²

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 37544

List of positive integer factors of 37544 that divides 37544 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 361, 494, 722, 988, 1444, 1976, 2888, 4693, 9386, 18772

Step-4: Factors of 37562

List of positive integer factors of 37562 that divides 37544 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37544 and 37562. The biggest common factor number is the GCF number.
So the greatest common factor 37544 and 37562 is 2.

Also check out the Least Common Multiple of 37544 and 37562