What is the Greatest Common Factor of 47968 and 47974?

Greatest common factor (GCF) of 47968 and 47974 is 2.

GCF(47968,47974) = 2

We will now calculate the prime factors of 47968 and 47974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47968 and 47974.

How to find the GCF of 47968 and 47974?

We will first find the prime factorization of 47968 and 47974. After we will calculate the factors of 47968 and 47974 and find the biggest common factor number .

Step-1: Prime Factorization of 47968

Prime factors of 47968 are 2, 1499. Prime factorization of 47968 in exponential form is:

47968 = 2⁵ × 1499¹

Step-2: 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-3: Factors of 47968

List of positive integer factors of 47968 that divides 47968 without a remainder.

1, 2, 4, 8, 16, 32, 1499, 2998, 5996, 11992, 23984

Step-4: Factors of 47974

List of positive integer factors of 47974 that divides 47968 without a remainder.

1, 2, 17, 34, 83, 166, 289, 578, 1411, 2822, 23987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47968 and 47974. The biggest common factor number is the GCF number.
So the greatest common factor 47968 and 47974 is 2.

Also check out the Least Common Multiple of 47968 and 47974