What is the Greatest Common Factor of 39620 and 39635?

Greatest common factor (GCF) of 39620 and 39635 is 5.

GCF(39620,39635) = 5

We will now calculate the prime factors of 39620 and 39635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39620 and 39635.

How to find the GCF of 39620 and 39635?

We will first find the prime factorization of 39620 and 39635. After we will calculate the factors of 39620 and 39635 and find the biggest common factor number .

Step-1: Prime Factorization of 39620

Prime factors of 39620 are 2, 5, 7, 283. Prime factorization of 39620 in exponential form is:

39620 = 2² × 5¹ × 7¹ × 283¹

Step-2: Prime Factorization of 39635

Prime factors of 39635 are 5, 7927. Prime factorization of 39635 in exponential form is:

39635 = 5¹ × 7927¹

Step-3: Factors of 39620

List of positive integer factors of 39620 that divides 39620 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 283, 566, 1132, 1415, 1981, 2830, 3962, 5660, 7924, 9905, 19810

Step-4: Factors of 39635

List of positive integer factors of 39635 that divides 39620 without a remainder.

1, 5, 7927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39620 and 39635. The biggest common factor number is the GCF number.
So the greatest common factor 39620 and 39635 is 5.

Also check out the Least Common Multiple of 39620 and 39635