What is the Greatest Common Factor of 78620 and 78630?

Greatest common factor (GCF) of 78620 and 78630 is 10.

GCF(78620,78630) = 10

We will now calculate the prime factors of 78620 and 78630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78620 and 78630.

How to find the GCF of 78620 and 78630?

We will first find the prime factorization of 78620 and 78630. After we will calculate the factors of 78620 and 78630 and find the biggest common factor number .

Step-1: Prime Factorization of 78620

Prime factors of 78620 are 2, 5, 3931. Prime factorization of 78620 in exponential form is:

78620 = 2² × 5¹ × 3931¹

Step-2: 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-3: Factors of 78620

List of positive integer factors of 78620 that divides 78620 without a remainder.

1, 2, 4, 5, 10, 20, 3931, 7862, 15724, 19655, 39310

Step-4: Factors of 78630

List of positive integer factors of 78630 that divides 78620 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78620 and 78630. The biggest common factor number is the GCF number.
So the greatest common factor 78620 and 78630 is 10.

Also check out the Least Common Multiple of 78620 and 78630