What is the Greatest Common Factor of 37450 and 37464?

Greatest common factor (GCF) of 37450 and 37464 is 14.

GCF(37450,37464) = 14

We will now calculate the prime factors of 37450 and 37464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37450 and 37464.

How to find the GCF of 37450 and 37464?

We will first find the prime factorization of 37450 and 37464. After we will calculate the factors of 37450 and 37464 and find the biggest common factor number .

Step-1: Prime Factorization of 37450

Prime factors of 37450 are 2, 5, 7, 107. Prime factorization of 37450 in exponential form is:

37450 = 2¹ × 5² × 7¹ × 107¹

Step-2: Prime Factorization of 37464

Prime factors of 37464 are 2, 3, 7, 223. Prime factorization of 37464 in exponential form is:

37464 = 2³ × 3¹ × 7¹ × 223¹

Step-3: Factors of 37450

List of positive integer factors of 37450 that divides 37450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 107, 175, 214, 350, 535, 749, 1070, 1498, 2675, 3745, 5350, 7490, 18725

Step-4: Factors of 37464

List of positive integer factors of 37464 that divides 37450 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 223, 446, 669, 892, 1338, 1561, 1784, 2676, 3122, 4683, 5352, 6244, 9366, 12488, 18732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37450 and 37464. The biggest common factor number is the GCF number.
So the greatest common factor 37450 and 37464 is 14.

Also check out the Least Common Multiple of 37450 and 37464