What is the Greatest Common Factor of 78630 and 78635?

Greatest common factor (GCF) of 78630 and 78635 is 5.

GCF(78630,78635) = 5

We will now calculate the prime factors of 78630 and 78635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78630 and 78635.

How to find the GCF of 78630 and 78635?

We will first find the prime factorization of 78630 and 78635. After we will calculate the factors of 78630 and 78635 and find the biggest common factor number .

Step-1: Prime Factorization of 78630

Prime factors of 78630 are 2, 3, 5, 2621. Prime factorization of 78630 in exponential form is:

78630 = 2¹ × 3¹ × 5¹ × 2621¹

Step-2: Prime Factorization of 78635

Prime factors of 78635 are 5, 15727. Prime factorization of 78635 in exponential form is:

78635 = 5¹ × 15727¹

Step-3: Factors of 78630

List of positive integer factors of 78630 that divides 78630 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2621, 5242, 7863, 13105, 15726, 26210, 39315

Step-4: Factors of 78635

List of positive integer factors of 78635 that divides 78630 without a remainder.

1, 5, 15727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78630 and 78635. The biggest common factor number is the GCF number.
So the greatest common factor 78630 and 78635 is 5.

Also check out the Least Common Multiple of 78630 and 78635