What is the Greatest Common Factor of 37544 and 37563?

Greatest common factor (GCF) of 37544 and 37563 is 19.

GCF(37544,37563) = 19

We will now calculate the prime factors of 37544 and 37563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37544 and 37563.

How to find the GCF of 37544 and 37563?

We will first find the prime factorization of 37544 and 37563. After we will calculate the factors of 37544 and 37563 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 37563

Prime factors of 37563 are 3, 19, 659. Prime factorization of 37563 in exponential form is:

37563 = 3¹ × 19¹ × 659¹

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 37563

List of positive integer factors of 37563 that divides 37544 without a remainder.

1, 3, 19, 57, 659, 1977, 12521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37544 and 37563. The biggest common factor number is the GCF number.
So the greatest common factor 37544 and 37563 is 19.

Also check out the Least Common Multiple of 37544 and 37563