What is the Greatest Common Factor of 39641 and 39655?

Greatest common factor (GCF) of 39641 and 39655 is 7.

GCF(39641,39655) = 7

We will now calculate the prime factors of 39641 and 39655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39641 and 39655.

How to find the GCF of 39641 and 39655?

We will first find the prime factorization of 39641 and 39655. After we will calculate the factors of 39641 and 39655 and find the biggest common factor number .

Step-1: Prime Factorization of 39641

Prime factors of 39641 are 7, 809. Prime factorization of 39641 in exponential form is:

39641 = 7² × 809¹

Step-2: Prime Factorization of 39655

Prime factors of 39655 are 5, 7, 11, 103. Prime factorization of 39655 in exponential form is:

39655 = 5¹ × 7¹ × 11¹ × 103¹

Step-3: Factors of 39641

List of positive integer factors of 39641 that divides 39641 without a remainder.

1, 7, 49, 809, 5663

Step-4: Factors of 39655

List of positive integer factors of 39655 that divides 39641 without a remainder.

1, 5, 7, 11, 35, 55, 77, 103, 385, 515, 721, 1133, 3605, 5665, 7931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39641 and 39655. The biggest common factor number is the GCF number.
So the greatest common factor 39641 and 39655 is 7.

Also check out the Least Common Multiple of 39641 and 39655