What is the Greatest Common Factor of 37449 and 37464?

Greatest common factor (GCF) of 37449 and 37464 is 3.

GCF(37449,37464) = 3

We will now calculate the prime factors of 37449 and 37464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37449 and 37464.

How to find the GCF of 37449 and 37464?

We will first find the prime factorization of 37449 and 37464. After we will calculate the factors of 37449 and 37464 and find the biggest common factor number .

Step-1: Prime Factorization of 37449

Prime factors of 37449 are 3, 19, 73. Prime factorization of 37449 in exponential form is:

37449 = 3³ × 19¹ × 73¹

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 37449

List of positive integer factors of 37449 that divides 37449 without a remainder.

1, 3, 9, 19, 27, 57, 73, 171, 219, 513, 657, 1387, 1971, 4161, 12483

Step-4: Factors of 37464

List of positive integer factors of 37464 that divides 37449 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 37449 and 37464. The biggest common factor number is the GCF number.
So the greatest common factor 37449 and 37464 is 3.

Also check out the Least Common Multiple of 37449 and 37464