What is the Greatest Common Factor of 78684 and 78698?

Greatest common factor (GCF) of 78684 and 78698 is 2.

GCF(78684,78698) = 2

We will now calculate the prime factors of 78684 and 78698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78684 and 78698.

How to find the GCF of 78684 and 78698?

We will first find the prime factorization of 78684 and 78698. After we will calculate the factors of 78684 and 78698 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78698

Prime factors of 78698 are 2, 19, 109. Prime factorization of 78698 in exponential form is:

78698 = 2¹ × 19² × 109¹

Step-3: Factors of 78684

List of positive integer factors of 78684 that divides 78684 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

Step-4: Factors of 78698

List of positive integer factors of 78698 that divides 78684 without a remainder.

1, 2, 19, 38, 109, 218, 361, 722, 2071, 4142, 39349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78684 and 78698. The biggest common factor number is the GCF number.
So the greatest common factor 78684 and 78698 is 2.

Also check out the Least Common Multiple of 78684 and 78698