What is the Greatest Common Factor of 47974 and 47993?

Greatest common factor (GCF) of 47974 and 47993 is 1.

GCF(47974,47993) = 1

We will now calculate the prime factors of 47974 and 47993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47974 and 47993.

How to find the GCF of 47974 and 47993?

We will first find the prime factorization of 47974 and 47993. After we will calculate the factors of 47974 and 47993 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 47993

Prime factors of 47993 are 11, 4363. Prime factorization of 47993 in exponential form is:

47993 = 11¹ × 4363¹

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 47993

List of positive integer factors of 47993 that divides 47974 without a remainder.

1, 11, 4363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47974 and 47993. The biggest common factor number is the GCF number.
So the greatest common factor 47974 and 47993 is 1.

Also check out the Least Common Multiple of 47974 and 47993