What is the Greatest Common Factor of 39472 and 39476?

Greatest common factor (GCF) of 39472 and 39476 is 4.

GCF(39472,39476) = 4

We will now calculate the prime factors of 39472 and 39476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39472 and 39476.

How to find the GCF of 39472 and 39476?

We will first find the prime factorization of 39472 and 39476. After we will calculate the factors of 39472 and 39476 and find the biggest common factor number .

Step-1: Prime Factorization of 39472

Prime factors of 39472 are 2, 2467. Prime factorization of 39472 in exponential form is:

39472 = 2⁴ × 2467¹

Step-2: Prime Factorization of 39476

Prime factors of 39476 are 2, 71, 139. Prime factorization of 39476 in exponential form is:

39476 = 2² × 71¹ × 139¹

Step-3: Factors of 39472

List of positive integer factors of 39472 that divides 39472 without a remainder.

1, 2, 4, 8, 16, 2467, 4934, 9868, 19736

Step-4: Factors of 39476

List of positive integer factors of 39476 that divides 39472 without a remainder.

1, 2, 4, 71, 139, 142, 278, 284, 556, 9869, 19738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39472 and 39476. The biggest common factor number is the GCF number.
So the greatest common factor 39472 and 39476 is 4.

Also check out the Least Common Multiple of 39472 and 39476