What is the Greatest Common Factor of 47974 and 47991?

Greatest common factor (GCF) of 47974 and 47991 is 17.

GCF(47974,47991) = 17

We will now calculate the prime factors of 47974 and 47991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47974 and 47991.

How to find the GCF of 47974 and 47991?

We will first find the prime factorization of 47974 and 47991. After we will calculate the factors of 47974 and 47991 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 47991

Prime factors of 47991 are 3, 17, 941. Prime factorization of 47991 in exponential form is:

47991 = 3¹ × 17¹ × 941¹

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 47991

List of positive integer factors of 47991 that divides 47974 without a remainder.

1, 3, 17, 51, 941, 2823, 15997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47974 and 47991. The biggest common factor number is the GCF number.
So the greatest common factor 47974 and 47991 is 17.

Also check out the Least Common Multiple of 47974 and 47991