What is the Greatest Common Factor of 37477 and 37488?

Greatest common factor (GCF) of 37477 and 37488 is 11.

GCF(37477,37488) = 11

We will now calculate the prime factors of 37477 and 37488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37477 and 37488.

How to find the GCF of 37477 and 37488?

We will first find the prime factorization of 37477 and 37488. After we will calculate the factors of 37477 and 37488 and find the biggest common factor number .

Step-1: Prime Factorization of 37477

Prime factors of 37477 are 11, 3407. Prime factorization of 37477 in exponential form is:

37477 = 11¹ × 3407¹

Step-2: 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-3: Factors of 37477

List of positive integer factors of 37477 that divides 37477 without a remainder.

1, 11, 3407

Step-4: Factors of 37488

List of positive integer factors of 37488 that divides 37477 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37477 and 37488. The biggest common factor number is the GCF number.
So the greatest common factor 37477 and 37488 is 11.

Also check out the Least Common Multiple of 37477 and 37488