What is the Greatest Common Factor of 37648 and 37662?

Greatest common factor (GCF) of 37648 and 37662 is 2.

GCF(37648,37662) = 2

We will now calculate the prime factors of 37648 and 37662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37648 and 37662.

How to find the GCF of 37648 and 37662?

We will first find the prime factorization of 37648 and 37662. After we will calculate the factors of 37648 and 37662 and find the biggest common factor number .

Step-1: Prime Factorization of 37648

Prime factors of 37648 are 2, 13, 181. Prime factorization of 37648 in exponential form is:

37648 = 2⁴ × 13¹ × 181¹

Step-2: Prime Factorization of 37662

Prime factors of 37662 are 2, 3, 6277. Prime factorization of 37662 in exponential form is:

37662 = 2¹ × 3¹ × 6277¹

Step-3: Factors of 37648

List of positive integer factors of 37648 that divides 37648 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 181, 208, 362, 724, 1448, 2353, 2896, 4706, 9412, 18824

Step-4: Factors of 37662

List of positive integer factors of 37662 that divides 37648 without a remainder.

1, 2, 3, 6, 6277, 12554, 18831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37648 and 37662. The biggest common factor number is the GCF number.
So the greatest common factor 37648 and 37662 is 2.

Also check out the Least Common Multiple of 37648 and 37662