What is the Greatest Common Factor of 37668 and 37672?

Greatest common factor (GCF) of 37668 and 37672 is 4.

GCF(37668,37672) = 4

We will now calculate the prime factors of 37668 and 37672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37668 and 37672.

How to find the GCF of 37668 and 37672?

We will first find the prime factorization of 37668 and 37672. After we will calculate the factors of 37668 and 37672 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37672

Prime factors of 37672 are 2, 17, 277. Prime factorization of 37672 in exponential form is:

37672 = 2³ × 17¹ × 277¹

Step-3: Factors of 37668

List of positive integer factors of 37668 that divides 37668 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

Step-4: Factors of 37672

List of positive integer factors of 37672 that divides 37668 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 277, 554, 1108, 2216, 4709, 9418, 18836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37668 and 37672. The biggest common factor number is the GCF number.
So the greatest common factor 37668 and 37672 is 4.

Also check out the Least Common Multiple of 37668 and 37672