What is the Greatest Common Factor of 78640 and 78659?

Greatest common factor (GCF) of 78640 and 78659 is 1.

GCF(78640,78659) = 1

We will now calculate the prime factors of 78640 and 78659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78640 and 78659.

How to find the GCF of 78640 and 78659?

We will first find the prime factorization of 78640 and 78659. After we will calculate the factors of 78640 and 78659 and find the biggest common factor number .

Step-1: Prime Factorization of 78640

Prime factors of 78640 are 2, 5, 983. Prime factorization of 78640 in exponential form is:

78640 = 2⁴ × 5¹ × 983¹

Step-2: Prime Factorization of 78659

Prime factors of 78659 are 7, 17, 661. Prime factorization of 78659 in exponential form is:

78659 = 7¹ × 17¹ × 661¹

Step-3: Factors of 78640

List of positive integer factors of 78640 that divides 78640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 983, 1966, 3932, 4915, 7864, 9830, 15728, 19660, 39320

Step-4: Factors of 78659

List of positive integer factors of 78659 that divides 78640 without a remainder.

1, 7, 17, 119, 661, 4627, 11237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78640 and 78659. The biggest common factor number is the GCF number.
So the greatest common factor 78640 and 78659 is 1.

Also check out the Least Common Multiple of 78640 and 78659