What is the Greatest Common Factor of 78676 and 78693?

Greatest common factor (GCF) of 78676 and 78693 is 17.

GCF(78676,78693) = 17

We will now calculate the prime factors of 78676 and 78693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78676 and 78693.

How to find the GCF of 78676 and 78693?

We will first find the prime factorization of 78676 and 78693. After we will calculate the factors of 78676 and 78693 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 78693

Prime factors of 78693 are 3, 17, 1543. Prime factorization of 78693 in exponential form is:

78693 = 3¹ × 17¹ × 1543¹

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 78693

List of positive integer factors of 78693 that divides 78676 without a remainder.

1, 3, 17, 51, 1543, 4629, 26231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78676 and 78693. The biggest common factor number is the GCF number.
So the greatest common factor 78676 and 78693 is 17.

Also check out the Least Common Multiple of 78676 and 78693