What is the Greatest Common Factor of 78642 and 78647?

Greatest common factor (GCF) of 78642 and 78647 is 1.

GCF(78642,78647) = 1

We will now calculate the prime factors of 78642 and 78647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78642 and 78647.

How to find the GCF of 78642 and 78647?

We will first find the prime factorization of 78642 and 78647. After we will calculate the factors of 78642 and 78647 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78647

Prime factors of 78647 are 31, 43, 59. Prime factorization of 78647 in exponential form is:

78647 = 31¹ × 43¹ × 59¹

Step-3: Factors of 78642

List of positive integer factors of 78642 that divides 78642 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

Step-4: Factors of 78647

List of positive integer factors of 78647 that divides 78642 without a remainder.

1, 31, 43, 59, 1333, 1829, 2537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78642 and 78647. The biggest common factor number is the GCF number.
So the greatest common factor 78642 and 78647 is 1.

Also check out the Least Common Multiple of 78642 and 78647