What is the Greatest Common Factor of 78676 and 78689?

Greatest common factor (GCF) of 78676 and 78689 is 13.

GCF(78676,78689) = 13

We will now calculate the prime factors of 78676 and 78689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78676 and 78689.

How to find the GCF of 78676 and 78689?

We will first find the prime factorization of 78676 and 78689. After we will calculate the factors of 78676 and 78689 and find the biggest common factor number .

Step-1: Prime Factorization of 78676

Prime factors of 78676 are 2, 13, 17, 89. Prime factorization of 78676 in exponential form is:

78676 = 2² × 13¹ × 17¹ × 89¹

Step-2: Prime Factorization of 78689

Prime factors of 78689 are 13, 6053. Prime factorization of 78689 in exponential form is:

78689 = 13¹ × 6053¹

Step-3: Factors of 78676

List of positive integer factors of 78676 that divides 78676 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 89, 178, 221, 356, 442, 884, 1157, 1513, 2314, 3026, 4628, 6052, 19669, 39338

Step-4: Factors of 78689

List of positive integer factors of 78689 that divides 78676 without a remainder.

1, 13, 6053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78676 and 78689. The biggest common factor number is the GCF number.
So the greatest common factor 78676 and 78689 is 13.

Also check out the Least Common Multiple of 78676 and 78689