What is the Greatest Common Factor of 37582 and 37601?

Greatest common factor (GCF) of 37582 and 37601 is 19.

GCF(37582,37601) = 19

We will now calculate the prime factors of 37582 and 37601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37582 and 37601.

How to find the GCF of 37582 and 37601?

We will first find the prime factorization of 37582 and 37601. After we will calculate the factors of 37582 and 37601 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37601

Prime factors of 37601 are 19, 1979. Prime factorization of 37601 in exponential form is:

37601 = 19¹ × 1979¹

Step-3: Factors of 37582

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

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

Step-4: Factors of 37601

List of positive integer factors of 37601 that divides 37582 without a remainder.

1, 19, 1979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37582 and 37601. The biggest common factor number is the GCF number.
So the greatest common factor 37582 and 37601 is 19.

Also check out the Least Common Multiple of 37582 and 37601