What is the Greatest Common Factor of 77991 and 78009?

Greatest common factor (GCF) of 77991 and 78009 is 3.

GCF(77991,78009) = 3

We will now calculate the prime factors of 77991 and 78009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77991 and 78009.

How to find the GCF of 77991 and 78009?

We will first find the prime factorization of 77991 and 78009. After we will calculate the factors of 77991 and 78009 and find the biggest common factor number .

Step-1: Prime Factorization of 77991

Prime factors of 77991 are 3, 25997. Prime factorization of 77991 in exponential form is:

77991 = 3¹ × 25997¹

Step-2: Prime Factorization of 78009

Prime factors of 78009 are 3, 26003. Prime factorization of 78009 in exponential form is:

78009 = 3¹ × 26003¹

Step-3: Factors of 77991

List of positive integer factors of 77991 that divides 77991 without a remainder.

1, 3, 25997

Step-4: Factors of 78009

List of positive integer factors of 78009 that divides 77991 without a remainder.

1, 3, 26003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77991 and 78009. The biggest common factor number is the GCF number.
So the greatest common factor 77991 and 78009 is 3.

Also check out the Least Common Multiple of 77991 and 78009