What is the Greatest Common Factor of 37488 and 37494?

Greatest common factor (GCF) of 37488 and 37494 is 6.

GCF(37488,37494) = 6

We will now calculate the prime factors of 37488 and 37494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37488 and 37494.

How to find the GCF of 37488 and 37494?

We will first find the prime factorization of 37488 and 37494. After we will calculate the factors of 37488 and 37494 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 37494

Prime factors of 37494 are 2, 3, 2083. Prime factorization of 37494 in exponential form is:

37494 = 2¹ × 3² × 2083¹

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 37494

List of positive integer factors of 37494 that divides 37488 without a remainder.

1, 2, 3, 6, 9, 18, 2083, 4166, 6249, 12498, 18747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37488 and 37494. The biggest common factor number is the GCF number.
So the greatest common factor 37488 and 37494 is 6.

Also check out the Least Common Multiple of 37488 and 37494