What is the Greatest Common Factor of 5968 and 5984?

Greatest common factor (GCF) of 5968 and 5984 is 16.

GCF(5968,5984) = 16

We will now calculate the prime factors of 5968 and 5984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5968 and 5984.

How to find the GCF of 5968 and 5984?

We will first find the prime factorization of 5968 and 5984. After we will calculate the factors of 5968 and 5984 and find the biggest common factor number .

Step-1: Prime Factorization of 5968

Prime factors of 5968 are 2, 373. Prime factorization of 5968 in exponential form is:

5968 = 2⁴ × 373¹

Step-2: Prime Factorization of 5984

Prime factors of 5984 are 2, 11, 17. Prime factorization of 5984 in exponential form is:

5984 = 2⁵ × 11¹ × 17¹

Step-3: Factors of 5968

List of positive integer factors of 5968 that divides 5968 without a remainder.

1, 2, 4, 8, 16, 373, 746, 1492, 2984

Step-4: Factors of 5984

List of positive integer factors of 5984 that divides 5968 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5968 and 5984. The biggest common factor number is the GCF number.
So the greatest common factor 5968 and 5984 is 16.

Also check out the Least Common Multiple of 5968 and 5984