What is the Greatest Common Factor of 37466 and 37479?

Greatest common factor (GCF) of 37466 and 37479 is 13.

GCF(37466,37479) = 13

We will now calculate the prime factors of 37466 and 37479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37466 and 37479.

How to find the GCF of 37466 and 37479?

We will first find the prime factorization of 37466 and 37479. After we will calculate the factors of 37466 and 37479 and find the biggest common factor number .

Step-1: Prime Factorization of 37466

Prime factors of 37466 are 2, 11, 13, 131. Prime factorization of 37466 in exponential form is:

37466 = 2¹ × 11¹ × 13¹ × 131¹

Step-2: Prime Factorization of 37479

Prime factors of 37479 are 3, 13, 31. Prime factorization of 37479 in exponential form is:

37479 = 3¹ × 13¹ × 31²

Step-3: Factors of 37466

List of positive integer factors of 37466 that divides 37466 without a remainder.

1, 2, 11, 13, 22, 26, 131, 143, 262, 286, 1441, 1703, 2882, 3406, 18733

Step-4: Factors of 37479

List of positive integer factors of 37479 that divides 37466 without a remainder.

1, 3, 13, 31, 39, 93, 403, 961, 1209, 2883, 12493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37466 and 37479. The biggest common factor number is the GCF number.
So the greatest common factor 37466 and 37479 is 13.

Also check out the Least Common Multiple of 37466 and 37479