What is the Greatest Common Factor of 78967 and 78987?

Greatest common factor (GCF) of 78967 and 78987 is 1.

GCF(78967,78987) = 1

We will now calculate the prime factors of 78967 and 78987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78967 and 78987.

How to find the GCF of 78967 and 78987?

We will first find the prime factorization of 78967 and 78987. After we will calculate the factors of 78967 and 78987 and find the biggest common factor number .

Step-1: Prime Factorization of 78967

Prime factors of 78967 are 7, 29, 389. Prime factorization of 78967 in exponential form is:

78967 = 7¹ × 29¹ × 389¹

Step-2: Prime Factorization of 78987

Prime factors of 78987 are 3, 113, 233. Prime factorization of 78987 in exponential form is:

78987 = 3¹ × 113¹ × 233¹

Step-3: Factors of 78967

List of positive integer factors of 78967 that divides 78967 without a remainder.

1, 7, 29, 203, 389, 2723, 11281

Step-4: Factors of 78987

List of positive integer factors of 78987 that divides 78967 without a remainder.

1, 3, 113, 233, 339, 699, 26329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78967 and 78987. The biggest common factor number is the GCF number.
So the greatest common factor 78967 and 78987 is 1.

Also check out the Least Common Multiple of 78967 and 78987