What is the Greatest Common Factor of 47960 and 47968?

Greatest common factor (GCF) of 47960 and 47968 is 8.

GCF(47960,47968) = 8

We will now calculate the prime factors of 47960 and 47968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47960 and 47968.

How to find the GCF of 47960 and 47968?

We will first find the prime factorization of 47960 and 47968. After we will calculate the factors of 47960 and 47968 and find the biggest common factor number .

Step-1: Prime Factorization of 47960

Prime factors of 47960 are 2, 5, 11, 109. Prime factorization of 47960 in exponential form is:

47960 = 2³ × 5¹ × 11¹ × 109¹

Step-2: Prime Factorization of 47968

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

47968 = 2⁵ × 1499¹

Step-3: Factors of 47960

List of positive integer factors of 47960 that divides 47960 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 109, 110, 218, 220, 436, 440, 545, 872, 1090, 1199, 2180, 2398, 4360, 4796, 5995, 9592, 11990, 23980

Step-4: Factors of 47968

List of positive integer factors of 47968 that divides 47960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47960 and 47968. The biggest common factor number is the GCF number.
So the greatest common factor 47960 and 47968 is 8.

Also check out the Least Common Multiple of 47960 and 47968