What is the Greatest Common Factor of 39655 and 39670?

Greatest common factor (GCF) of 39655 and 39670 is 5.

GCF(39655,39670) = 5

We will now calculate the prime factors of 39655 and 39670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39655 and 39670.

How to find the GCF of 39655 and 39670?

We will first find the prime factorization of 39655 and 39670. After we will calculate the factors of 39655 and 39670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39670

Prime factors of 39670 are 2, 5, 3967. Prime factorization of 39670 in exponential form is:

39670 = 2¹ × 5¹ × 3967¹

Step-3: Factors of 39655

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

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

Step-4: Factors of 39670

List of positive integer factors of 39670 that divides 39655 without a remainder.

1, 2, 5, 10, 3967, 7934, 19835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39655 and 39670. The biggest common factor number is the GCF number.
So the greatest common factor 39655 and 39670 is 5.

Also check out the Least Common Multiple of 39655 and 39670