What is the Greatest Common Factor of 37563 and 37582?

Greatest common factor (GCF) of 37563 and 37582 is 19.

GCF(37563,37582) = 19

We will now calculate the prime factors of 37563 and 37582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37563 and 37582.

How to find the GCF of 37563 and 37582?

We will first find the prime factorization of 37563 and 37582. After we will calculate the factors of 37563 and 37582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37582

Prime factors of 37582 are 2, 19, 23, 43. Prime factorization of 37582 in exponential form is:

37582 = 2¹ × 19¹ × 23¹ × 43¹

Step-3: Factors of 37563

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

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

Step-4: Factors of 37582

List of positive integer factors of 37582 that divides 37563 without a remainder.

1, 2, 19, 23, 38, 43, 46, 86, 437, 817, 874, 989, 1634, 1978, 18791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37563 and 37582. The biggest common factor number is the GCF number.
So the greatest common factor 37563 and 37582 is 19.

Also check out the Least Common Multiple of 37563 and 37582