What is the Greatest Common Factor of 47978 and 47992?

Greatest common factor (GCF) of 47978 and 47992 is 14.

GCF(47978,47992) = 14

We will now calculate the prime factors of 47978 and 47992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47978 and 47992.

How to find the GCF of 47978 and 47992?

We will first find the prime factorization of 47978 and 47992. After we will calculate the factors of 47978 and 47992 and find the biggest common factor number .

Step-1: Prime Factorization of 47978

Prime factors of 47978 are 2, 7, 23, 149. Prime factorization of 47978 in exponential form is:

47978 = 2¹ × 7¹ × 23¹ × 149¹

Step-2: Prime Factorization of 47992

Prime factors of 47992 are 2, 7, 857. Prime factorization of 47992 in exponential form is:

47992 = 2³ × 7¹ × 857¹

Step-3: Factors of 47978

List of positive integer factors of 47978 that divides 47978 without a remainder.

1, 2, 7, 14, 23, 46, 149, 161, 298, 322, 1043, 2086, 3427, 6854, 23989

Step-4: Factors of 47992

List of positive integer factors of 47992 that divides 47978 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 857, 1714, 3428, 5999, 6856, 11998, 23996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47978 and 47992. The biggest common factor number is the GCF number.
So the greatest common factor 47978 and 47992 is 14.

Also check out the Least Common Multiple of 47978 and 47992