What is the Greatest Common Factor of 47977 and 47988?

Greatest common factor (GCF) of 47977 and 47988 is 1.

GCF(47977,47988) = 1

We will now calculate the prime factors of 47977 and 47988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47977 and 47988.

How to find the GCF of 47977 and 47988?

We will first find the prime factorization of 47977 and 47988. After we will calculate the factors of 47977 and 47988 and find the biggest common factor number .

Step-1: Prime Factorization of 47977

Prime factors of 47977 are 47977. Prime factorization of 47977 in exponential form is:

47977 = 47977¹

Step-2: Prime Factorization of 47988

Prime factors of 47988 are 2, 3, 31, 43. Prime factorization of 47988 in exponential form is:

47988 = 2² × 3² × 31¹ × 43¹

Step-3: Factors of 47977

List of positive integer factors of 47977 that divides 47977 without a remainder.

Step-4: Factors of 47988

List of positive integer factors of 47988 that divides 47977 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 43, 62, 86, 93, 124, 129, 172, 186, 258, 279, 372, 387, 516, 558, 774, 1116, 1333, 1548, 2666, 3999, 5332, 7998, 11997, 15996, 23994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47977 and 47988. The biggest common factor number is the GCF number.
So the greatest common factor 47977 and 47988 is 1.

Also check out the Least Common Multiple of 47977 and 47988