What is the Greatest Common Factor of 39628 and 39646?

Greatest common factor (GCF) of 39628 and 39646 is 2.

GCF(39628,39646) = 2

We will now calculate the prime factors of 39628 and 39646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39628 and 39646.

How to find the GCF of 39628 and 39646?

We will first find the prime factorization of 39628 and 39646. After we will calculate the factors of 39628 and 39646 and find the biggest common factor number .

Step-1: Prime Factorization of 39628

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

39628 = 2² × 9907¹

Step-2: Prime Factorization of 39646

Prime factors of 39646 are 2, 43, 461. Prime factorization of 39646 in exponential form is:

39646 = 2¹ × 43¹ × 461¹

Step-3: Factors of 39628

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

1, 2, 4, 9907, 19814

Step-4: Factors of 39646

List of positive integer factors of 39646 that divides 39628 without a remainder.

1, 2, 43, 86, 461, 922, 19823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39628 and 39646. The biggest common factor number is the GCF number.
So the greatest common factor 39628 and 39646 is 2.

Also check out the Least Common Multiple of 39628 and 39646