What is the Greatest Common Factor of 37654 and 37668?

Greatest common factor (GCF) of 37654 and 37668 is 2.

GCF(37654,37668) = 2

We will now calculate the prime factors of 37654 and 37668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37654 and 37668.

How to find the GCF of 37654 and 37668?

We will first find the prime factorization of 37654 and 37668. After we will calculate the factors of 37654 and 37668 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 37668

Prime factors of 37668 are 2, 3, 43, 73. Prime factorization of 37668 in exponential form is:

37668 = 2² × 3¹ × 43¹ × 73¹

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 37668

List of positive integer factors of 37668 that divides 37654 without a remainder.

1, 2, 3, 4, 6, 12, 43, 73, 86, 129, 146, 172, 219, 258, 292, 438, 516, 876, 3139, 6278, 9417, 12556, 18834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37654 and 37668. The biggest common factor number is the GCF number.
So the greatest common factor 37654 and 37668 is 2.

Also check out the Least Common Multiple of 37654 and 37668