What is the Greatest Common Factor of 78932 and 78946?

Greatest common factor (GCF) of 78932 and 78946 is 14.

GCF(78932,78946) = 14

We will now calculate the prime factors of 78932 and 78946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78932 and 78946.

How to find the GCF of 78932 and 78946?

We will first find the prime factorization of 78932 and 78946. After we will calculate the factors of 78932 and 78946 and find the biggest common factor number .

Step-1: Prime Factorization of 78932

Prime factors of 78932 are 2, 7, 2819. Prime factorization of 78932 in exponential form is:

78932 = 2² × 7¹ × 2819¹

Step-2: Prime Factorization of 78946

Prime factors of 78946 are 2, 7, 5639. Prime factorization of 78946 in exponential form is:

78946 = 2¹ × 7¹ × 5639¹

Step-3: Factors of 78932

List of positive integer factors of 78932 that divides 78932 without a remainder.

1, 2, 4, 7, 14, 28, 2819, 5638, 11276, 19733, 39466

Step-4: Factors of 78946

List of positive integer factors of 78946 that divides 78932 without a remainder.

1, 2, 7, 14, 5639, 11278, 39473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78932 and 78946. The biggest common factor number is the GCF number.
So the greatest common factor 78932 and 78946 is 14.

Also check out the Least Common Multiple of 78932 and 78946