What is the Greatest Common Factor of 37488 and 37504?

Greatest common factor (GCF) of 37488 and 37504 is 16.

GCF(37488,37504) = 16

We will now calculate the prime factors of 37488 and 37504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37488 and 37504.

How to find the GCF of 37488 and 37504?

We will first find the prime factorization of 37488 and 37504. After we will calculate the factors of 37488 and 37504 and find the biggest common factor number .

Step-1: Prime Factorization of 37488

Prime factors of 37488 are 2, 3, 11, 71. Prime factorization of 37488 in exponential form is:

37488 = 2⁴ × 3¹ × 11¹ × 71¹

Step-2: Prime Factorization of 37504

Prime factors of 37504 are 2, 293. Prime factorization of 37504 in exponential form is:

37504 = 2⁷ × 293¹

Step-3: Factors of 37488

List of positive integer factors of 37488 that divides 37488 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 71, 88, 132, 142, 176, 213, 264, 284, 426, 528, 568, 781, 852, 1136, 1562, 1704, 2343, 3124, 3408, 4686, 6248, 9372, 12496, 18744

Step-4: Factors of 37504

List of positive integer factors of 37504 that divides 37488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 293, 586, 1172, 2344, 4688, 9376, 18752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37488 and 37504. The biggest common factor number is the GCF number.
So the greatest common factor 37488 and 37504 is 16.

Also check out the Least Common Multiple of 37488 and 37504