What is the Greatest Common Factor of 37654 and 37658?

Greatest common factor (GCF) of 37654 and 37658 is 2.

GCF(37654,37658) = 2

We will now calculate the prime factors of 37654 and 37658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37654 and 37658.

How to find the GCF of 37654 and 37658?

We will first find the prime factorization of 37654 and 37658. After we will calculate the factors of 37654 and 37658 and find the biggest common factor number .

Step-1: Prime Factorization of 37654

Prime factors of 37654 are 2, 67, 281. Prime factorization of 37654 in exponential form is:

37654 = 2¹ × 67¹ × 281¹

Step-2: Prime Factorization of 37658

Prime factors of 37658 are 2, 19, 991. Prime factorization of 37658 in exponential form is:

37658 = 2¹ × 19¹ × 991¹

Step-3: Factors of 37654

List of positive integer factors of 37654 that divides 37654 without a remainder.

1, 2, 67, 134, 281, 562, 18827

Step-4: Factors of 37658

List of positive integer factors of 37658 that divides 37654 without a remainder.

1, 2, 19, 38, 991, 1982, 18829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37654 and 37658. The biggest common factor number is the GCF number.
So the greatest common factor 37654 and 37658 is 2.

Also check out the Least Common Multiple of 37654 and 37658