What is the Greatest Common Factor of 37488 and 37501?

Greatest common factor (GCF) of 37488 and 37501 is 1.

GCF(37488,37501) = 1

We will now calculate the prime factors of 37488 and 37501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37488 and 37501.

How to find the GCF of 37488 and 37501?

We will first find the prime factorization of 37488 and 37501. After we will calculate the factors of 37488 and 37501 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 37501

Prime factors of 37501 are 37501. Prime factorization of 37501 in exponential form is:

37501 = 37501¹

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 37501

List of positive integer factors of 37501 that divides 37488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37488 and 37501. The biggest common factor number is the GCF number.
So the greatest common factor 37488 and 37501 is 1.

Also check out the Least Common Multiple of 37488 and 37501