What is the Greatest Common Factor of 77989 and 78004?

Greatest common factor (GCF) of 77989 and 78004 is 1.

GCF(77989,78004) = 1

We will now calculate the prime factors of 77989 and 78004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77989 and 78004.

How to find the GCF of 77989 and 78004?

We will first find the prime factorization of 77989 and 78004. After we will calculate the factors of 77989 and 78004 and find the biggest common factor number .

Step-1: Prime Factorization of 77989

Prime factors of 77989 are 167, 467. Prime factorization of 77989 in exponential form is:

77989 = 167¹ × 467¹

Step-2: Prime Factorization of 78004

Prime factors of 78004 are 2, 19501. Prime factorization of 78004 in exponential form is:

78004 = 2² × 19501¹

Step-3: Factors of 77989

List of positive integer factors of 77989 that divides 77989 without a remainder.

1, 167, 467

Step-4: Factors of 78004

List of positive integer factors of 78004 that divides 77989 without a remainder.

1, 2, 4, 19501, 39002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77989 and 78004. The biggest common factor number is the GCF number.
So the greatest common factor 77989 and 78004 is 1.

Also check out the Least Common Multiple of 77989 and 78004