What is the Greatest Common Factor of 37534 and 37546?

Greatest common factor (GCF) of 37534 and 37546 is 2.

GCF(37534,37546) = 2

We will now calculate the prime factors of 37534 and 37546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37534 and 37546.

How to find the GCF of 37534 and 37546?

We will first find the prime factorization of 37534 and 37546. After we will calculate the factors of 37534 and 37546 and find the biggest common factor number .

Step-1: Prime Factorization of 37534

Prime factors of 37534 are 2, 7, 383. Prime factorization of 37534 in exponential form is:

37534 = 2¹ × 7² × 383¹

Step-2: Prime Factorization of 37546

Prime factors of 37546 are 2, 18773. Prime factorization of 37546 in exponential form is:

37546 = 2¹ × 18773¹

Step-3: Factors of 37534

List of positive integer factors of 37534 that divides 37534 without a remainder.

1, 2, 7, 14, 49, 98, 383, 766, 2681, 5362, 18767

Step-4: Factors of 37546

List of positive integer factors of 37546 that divides 37534 without a remainder.

1, 2, 18773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37534 and 37546. The biggest common factor number is the GCF number.
So the greatest common factor 37534 and 37546 is 2.

Also check out the Least Common Multiple of 37534 and 37546