What is the Greatest Common Factor of 39614 and 39628?

Greatest common factor (GCF) of 39614 and 39628 is 2.

GCF(39614,39628) = 2

We will now calculate the prime factors of 39614 and 39628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39614 and 39628.

How to find the GCF of 39614 and 39628?

We will first find the prime factorization of 39614 and 39628. After we will calculate the factors of 39614 and 39628 and find the biggest common factor number .

Step-1: Prime Factorization of 39614

Prime factors of 39614 are 2, 29, 683. Prime factorization of 39614 in exponential form is:

39614 = 2¹ × 29¹ × 683¹

Step-2: Prime Factorization of 39628

Prime factors of 39628 are 2, 9907. Prime factorization of 39628 in exponential form is:

39628 = 2² × 9907¹

Step-3: Factors of 39614

List of positive integer factors of 39614 that divides 39614 without a remainder.

1, 2, 29, 58, 683, 1366, 19807

Step-4: Factors of 39628

List of positive integer factors of 39628 that divides 39614 without a remainder.

1, 2, 4, 9907, 19814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39614 and 39628. The biggest common factor number is the GCF number.
So the greatest common factor 39614 and 39628 is 2.

Also check out the Least Common Multiple of 39614 and 39628