What is the Greatest Common Factor of 47978 and 47984?

Greatest common factor (GCF) of 47978 and 47984 is 2.

GCF(47978,47984) = 2

We will now calculate the prime factors of 47978 and 47984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47978 and 47984.

How to find the GCF of 47978 and 47984?

We will first find the prime factorization of 47978 and 47984. After we will calculate the factors of 47978 and 47984 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 47984

Prime factors of 47984 are 2, 2999. Prime factorization of 47984 in exponential form is:

47984 = 2⁴ × 2999¹

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 47984

List of positive integer factors of 47984 that divides 47978 without a remainder.

1, 2, 4, 8, 16, 2999, 5998, 11996, 23992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47978 and 47984. The biggest common factor number is the GCF number.
So the greatest common factor 47978 and 47984 is 2.

Also check out the Least Common Multiple of 47978 and 47984