What is the Greatest Common Factor of 78924 and 78941?

Greatest common factor (GCF) of 78924 and 78941 is 1.

GCF(78924,78941) = 1

We will now calculate the prime factors of 78924 and 78941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78924 and 78941.

How to find the GCF of 78924 and 78941?

We will first find the prime factorization of 78924 and 78941. After we will calculate the factors of 78924 and 78941 and find the biggest common factor number .

Step-1: Prime Factorization of 78924

Prime factors of 78924 are 2, 3, 6577. Prime factorization of 78924 in exponential form is:

78924 = 2² × 3¹ × 6577¹

Step-2: Prime Factorization of 78941

Prime factors of 78941 are 78941. Prime factorization of 78941 in exponential form is:

78941 = 78941¹

Step-3: Factors of 78924

List of positive integer factors of 78924 that divides 78924 without a remainder.

1, 2, 3, 4, 6, 12, 6577, 13154, 19731, 26308, 39462

Step-4: Factors of 78941

List of positive integer factors of 78941 that divides 78924 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78924 and 78941. The biggest common factor number is the GCF number.
So the greatest common factor 78924 and 78941 is 1.

Also check out the Least Common Multiple of 78924 and 78941