What is the Greatest Common Factor of 77986 and 78004?

Greatest common factor (GCF) of 77986 and 78004 is 2.

GCF(77986,78004) = 2

We will now calculate the prime factors of 77986 and 78004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77986 and 78004.

How to find the GCF of 77986 and 78004?

We will first find the prime factorization of 77986 and 78004. After we will calculate the factors of 77986 and 78004 and find the biggest common factor number .

Step-1: Prime Factorization of 77986

Prime factors of 77986 are 2, 38993. Prime factorization of 77986 in exponential form is:

77986 = 2¹ × 38993¹

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 77986

List of positive integer factors of 77986 that divides 77986 without a remainder.

1, 2, 38993

Step-4: Factors of 78004

List of positive integer factors of 78004 that divides 77986 without a remainder.

1, 2, 4, 19501, 39002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77986 and 78004. The biggest common factor number is the GCF number.
So the greatest common factor 77986 and 78004 is 2.

Also check out the Least Common Multiple of 77986 and 78004