What is the Greatest Common Factor of 37454 and 37466?

Greatest common factor (GCF) of 37454 and 37466 is 2.

GCF(37454,37466) = 2

We will now calculate the prime factors of 37454 and 37466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37454 and 37466.

How to find the GCF of 37454 and 37466?

We will first find the prime factorization of 37454 and 37466. After we will calculate the factors of 37454 and 37466 and find the biggest common factor number .

Step-1: Prime Factorization of 37454

Prime factors of 37454 are 2, 61, 307. Prime factorization of 37454 in exponential form is:

37454 = 2¹ × 61¹ × 307¹

Step-2: 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-3: Factors of 37454

List of positive integer factors of 37454 that divides 37454 without a remainder.

1, 2, 61, 122, 307, 614, 18727

Step-4: Factors of 37466

List of positive integer factors of 37466 that divides 37454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37454 and 37466. The biggest common factor number is the GCF number.
So the greatest common factor 37454 and 37466 is 2.

Also check out the Least Common Multiple of 37454 and 37466