What is the Greatest Common Factor of 70635 and 70645?

Greatest common factor (GCF) of 70635 and 70645 is 5.

GCF(70635,70645) = 5

We will now calculate the prime factors of 70635 and 70645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70635 and 70645.

How to find the GCF of 70635 and 70645?

We will first find the prime factorization of 70635 and 70645. After we will calculate the factors of 70635 and 70645 and find the biggest common factor number .

Step-1: Prime Factorization of 70635

Prime factors of 70635 are 3, 5, 17, 277. Prime factorization of 70635 in exponential form is:

70635 = 3¹ × 5¹ × 17¹ × 277¹

Step-2: Prime Factorization of 70645

Prime factors of 70645 are 5, 71, 199. Prime factorization of 70645 in exponential form is:

70645 = 5¹ × 71¹ × 199¹

Step-3: Factors of 70635

List of positive integer factors of 70635 that divides 70635 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 277, 831, 1385, 4155, 4709, 14127, 23545

Step-4: Factors of 70645

List of positive integer factors of 70645 that divides 70635 without a remainder.

1, 5, 71, 199, 355, 995, 14129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70635 and 70645. The biggest common factor number is the GCF number.
So the greatest common factor 70635 and 70645 is 5.

Also check out the Least Common Multiple of 70635 and 70645