What is the Greatest Common Factor of 39268 and 39288?

Greatest common factor (GCF) of 39268 and 39288 is 4.

GCF(39268,39288) = 4

We will now calculate the prime factors of 39268 and 39288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39268 and 39288.

How to find the GCF of 39268 and 39288?

We will first find the prime factorization of 39268 and 39288. After we will calculate the factors of 39268 and 39288 and find the biggest common factor number .

Step-1: Prime Factorization of 39268

Prime factors of 39268 are 2, 9817. Prime factorization of 39268 in exponential form is:

39268 = 2² × 9817¹

Step-2: Prime Factorization of 39288

Prime factors of 39288 are 2, 3, 1637. Prime factorization of 39288 in exponential form is:

39288 = 2³ × 3¹ × 1637¹

Step-3: Factors of 39268

List of positive integer factors of 39268 that divides 39268 without a remainder.

1, 2, 4, 9817, 19634

Step-4: Factors of 39288

List of positive integer factors of 39288 that divides 39268 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1637, 3274, 4911, 6548, 9822, 13096, 19644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39268 and 39288. The biggest common factor number is the GCF number.
So the greatest common factor 39268 and 39288 is 4.

Also check out the Least Common Multiple of 39268 and 39288