What is the Greatest Common Factor of 78625 and 78642?

Greatest common factor (GCF) of 78625 and 78642 is 17.

GCF(78625,78642) = 17

We will now calculate the prime factors of 78625 and 78642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78625 and 78642.

How to find the GCF of 78625 and 78642?

We will first find the prime factorization of 78625 and 78642. After we will calculate the factors of 78625 and 78642 and find the biggest common factor number .

Step-1: Prime Factorization of 78625

Prime factors of 78625 are 5, 17, 37. Prime factorization of 78625 in exponential form is:

78625 = 5³ × 17¹ × 37¹

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 78625

List of positive integer factors of 78625 that divides 78625 without a remainder.

1, 5, 17, 25, 37, 85, 125, 185, 425, 629, 925, 2125, 3145, 4625, 15725

Step-4: Factors of 78642

List of positive integer factors of 78642 that divides 78625 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 78625 and 78642. The biggest common factor number is the GCF number.
So the greatest common factor 78625 and 78642 is 17.

Also check out the Least Common Multiple of 78625 and 78642