What is the Greatest Common Factor of 78675 and 78694?

Greatest common factor (GCF) of 78675 and 78694 is 1.

GCF(78675,78694) = 1

We will now calculate the prime factors of 78675 and 78694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78675 and 78694.

How to find the GCF of 78675 and 78694?

We will first find the prime factorization of 78675 and 78694. After we will calculate the factors of 78675 and 78694 and find the biggest common factor number .

Step-1: Prime Factorization of 78675

Prime factors of 78675 are 3, 5, 1049. Prime factorization of 78675 in exponential form is:

78675 = 3¹ × 5² × 1049¹

Step-2: Prime Factorization of 78694

Prime factors of 78694 are 2, 7, 11, 73. Prime factorization of 78694 in exponential form is:

78694 = 2¹ × 7² × 11¹ × 73¹

Step-3: Factors of 78675

List of positive integer factors of 78675 that divides 78675 without a remainder.

1, 3, 5, 15, 25, 75, 1049, 3147, 5245, 15735, 26225

Step-4: Factors of 78694

List of positive integer factors of 78694 that divides 78675 without a remainder.

1, 2, 7, 11, 14, 22, 49, 73, 77, 98, 146, 154, 511, 539, 803, 1022, 1078, 1606, 3577, 5621, 7154, 11242, 39347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78675 and 78694. The biggest common factor number is the GCF number.
So the greatest common factor 78675 and 78694 is 1.

Also check out the Least Common Multiple of 78675 and 78694