What is the Greatest Common Factor of 37469 and 37488?

Greatest common factor (GCF) of 37469 and 37488 is 1.

GCF(37469,37488) = 1

We will now calculate the prime factors of 37469 and 37488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37469 and 37488.

How to find the GCF of 37469 and 37488?

We will first find the prime factorization of 37469 and 37488. After we will calculate the factors of 37469 and 37488 and find the biggest common factor number .

Step-1: Prime Factorization of 37469

Prime factors of 37469 are 89, 421. Prime factorization of 37469 in exponential form is:

37469 = 89¹ × 421¹

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 37469

List of positive integer factors of 37469 that divides 37469 without a remainder.

1, 89, 421

Step-4: Factors of 37488

List of positive integer factors of 37488 that divides 37469 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 37469 and 37488. The biggest common factor number is the GCF number.
So the greatest common factor 37469 and 37488 is 1.

Also check out the Least Common Multiple of 37469 and 37488