What is the Greatest Common Factor of 77949 and 77959?

Greatest common factor (GCF) of 77949 and 77959 is 1.

GCF(77949,77959) = 1

We will now calculate the prime factors of 77949 and 77959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77949 and 77959.

How to find the GCF of 77949 and 77959?

We will first find the prime factorization of 77949 and 77959. After we will calculate the factors of 77949 and 77959 and find the biggest common factor number .

Step-1: Prime Factorization of 77949

Prime factors of 77949 are 3, 2887. Prime factorization of 77949 in exponential form is:

77949 = 3³ × 2887¹

Step-2: Prime Factorization of 77959

Prime factors of 77959 are 7, 37, 43. Prime factorization of 77959 in exponential form is:

77959 = 7² × 37¹ × 43¹

Step-3: Factors of 77949

List of positive integer factors of 77949 that divides 77949 without a remainder.

1, 3, 9, 27, 2887, 8661, 25983

Step-4: Factors of 77959

List of positive integer factors of 77959 that divides 77949 without a remainder.

1, 7, 37, 43, 49, 259, 301, 1591, 1813, 2107, 11137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77949 and 77959. The biggest common factor number is the GCF number.
So the greatest common factor 77949 and 77959 is 1.

Also check out the Least Common Multiple of 77949 and 77959