What is the Greatest Common Factor of 47974 and 47988?

Greatest common factor (GCF) of 47974 and 47988 is 2.

GCF(47974,47988) = 2

We will now calculate the prime factors of 47974 and 47988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47974 and 47988.

How to find the GCF of 47974 and 47988?

We will first find the prime factorization of 47974 and 47988. After we will calculate the factors of 47974 and 47988 and find the biggest common factor number .

Step-1: Prime Factorization of 47974

Prime factors of 47974 are 2, 17, 83. Prime factorization of 47974 in exponential form is:

47974 = 2¹ × 17² × 83¹

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 47974

List of positive integer factors of 47974 that divides 47974 without a remainder.

1, 2, 17, 34, 83, 166, 289, 578, 1411, 2822, 23987

Step-4: Factors of 47988

List of positive integer factors of 47988 that divides 47974 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 47974 and 47988. The biggest common factor number is the GCF number.
So the greatest common factor 47974 and 47988 is 2.

Also check out the Least Common Multiple of 47974 and 47988