What is the Greatest Common Factor of 78630 and 78642?

Greatest common factor (GCF) of 78630 and 78642 is 6.

GCF(78630,78642) = 6

We will now calculate the prime factors of 78630 and 78642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78630 and 78642.

How to find the GCF of 78630 and 78642?

We will first find the prime factorization of 78630 and 78642. After we will calculate the factors of 78630 and 78642 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 78642

Prime factors of 78642 are 2, 3, 17, 257. Prime factorization of 78642 in exponential form is:

78642 = 2¹ × 3² × 17¹ × 257¹

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 78642

List of positive integer factors of 78642 that divides 78630 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 257, 306, 514, 771, 1542, 2313, 4369, 4626, 8738, 13107, 26214, 39321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78630 and 78642. The biggest common factor number is the GCF number.
So the greatest common factor 78630 and 78642 is 6.

Also check out the Least Common Multiple of 78630 and 78642