What is the Greatest Common Factor of 78670 and 78684?

Greatest common factor (GCF) of 78670 and 78684 is 2.

GCF(78670,78684) = 2

We will now calculate the prime factors of 78670 and 78684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78670 and 78684.

How to find the GCF of 78670 and 78684?

We will first find the prime factorization of 78670 and 78684. After we will calculate the factors of 78670 and 78684 and find the biggest common factor number .

Step-1: Prime Factorization of 78670

Prime factors of 78670 are 2, 5, 7867. Prime factorization of 78670 in exponential form is:

78670 = 2¹ × 5¹ × 7867¹

Step-2: Prime Factorization of 78684

Prime factors of 78684 are 2, 3, 79, 83. Prime factorization of 78684 in exponential form is:

78684 = 2² × 3¹ × 79¹ × 83¹

Step-3: Factors of 78670

List of positive integer factors of 78670 that divides 78670 without a remainder.

1, 2, 5, 10, 7867, 15734, 39335

Step-4: Factors of 78684

List of positive integer factors of 78684 that divides 78670 without a remainder.

1, 2, 3, 4, 6, 12, 79, 83, 158, 166, 237, 249, 316, 332, 474, 498, 948, 996, 6557, 13114, 19671, 26228, 39342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78670 and 78684. The biggest common factor number is the GCF number.
So the greatest common factor 78670 and 78684 is 2.

Also check out the Least Common Multiple of 78670 and 78684