What is the Greatest Common Factor of 47929 and 47943?

Greatest common factor (GCF) of 47929 and 47943 is 7.

GCF(47929,47943) = 7

We will now calculate the prime factors of 47929 and 47943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47929 and 47943.

How to find the GCF of 47929 and 47943?

We will first find the prime factorization of 47929 and 47943. After we will calculate the factors of 47929 and 47943 and find the biggest common factor number .

Step-1: Prime Factorization of 47929

Prime factors of 47929 are 7, 41, 167. Prime factorization of 47929 in exponential form is:

47929 = 7¹ × 41¹ × 167¹

Step-2: Prime Factorization of 47943

Prime factors of 47943 are 3, 7, 761. Prime factorization of 47943 in exponential form is:

47943 = 3² × 7¹ × 761¹

Step-3: Factors of 47929

List of positive integer factors of 47929 that divides 47929 without a remainder.

1, 7, 41, 167, 287, 1169, 6847

Step-4: Factors of 47943

List of positive integer factors of 47943 that divides 47929 without a remainder.

1, 3, 7, 9, 21, 63, 761, 2283, 5327, 6849, 15981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47929 and 47943. The biggest common factor number is the GCF number.
So the greatest common factor 47929 and 47943 is 7.

Also check out the Least Common Multiple of 47929 and 47943