What is the Greatest Common Factor of 77987 and 78003?

Greatest common factor (GCF) of 77987 and 78003 is 1.

GCF(77987,78003) = 1

We will now calculate the prime factors of 77987 and 78003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77987 and 78003.

How to find the GCF of 77987 and 78003?

We will first find the prime factorization of 77987 and 78003. After we will calculate the factors of 77987 and 78003 and find the biggest common factor number .

Step-1: Prime Factorization of 77987

Prime factors of 77987 are 7, 13, 857. Prime factorization of 77987 in exponential form is:

77987 = 7¹ × 13¹ × 857¹

Step-2: Prime Factorization of 78003

Prime factors of 78003 are 3, 107. Prime factorization of 78003 in exponential form is:

78003 = 3⁶ × 107¹

Step-3: Factors of 77987

List of positive integer factors of 77987 that divides 77987 without a remainder.

1, 7, 13, 91, 857, 5999, 11141

Step-4: Factors of 78003

List of positive integer factors of 78003 that divides 77987 without a remainder.

1, 3, 9, 27, 81, 107, 243, 321, 729, 963, 2889, 8667, 26001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77987 and 78003. The biggest common factor number is the GCF number.
So the greatest common factor 77987 and 78003 is 1.

Also check out the Least Common Multiple of 77987 and 78003