What is the Greatest Common Factor of 53984 and 53991?

Greatest common factor (GCF) of 53984 and 53991 is 7.

GCF(53984,53991) = 7

We will now calculate the prime factors of 53984 and 53991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53984 and 53991.

How to find the GCF of 53984 and 53991?

We will first find the prime factorization of 53984 and 53991. After we will calculate the factors of 53984 and 53991 and find the biggest common factor number .

Step-1: Prime Factorization of 53984

Prime factors of 53984 are 2, 7, 241. Prime factorization of 53984 in exponential form is:

53984 = 2⁵ × 7¹ × 241¹

Step-2: Prime Factorization of 53991

Prime factors of 53991 are 3, 7, 857. Prime factorization of 53991 in exponential form is:

53991 = 3² × 7¹ × 857¹

Step-3: Factors of 53984

List of positive integer factors of 53984 that divides 53984 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 241, 482, 964, 1687, 1928, 3374, 3856, 6748, 7712, 13496, 26992

Step-4: Factors of 53991

List of positive integer factors of 53991 that divides 53984 without a remainder.

1, 3, 7, 9, 21, 63, 857, 2571, 5999, 7713, 17997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53984 and 53991. The biggest common factor number is the GCF number.
So the greatest common factor 53984 and 53991 is 7.

Also check out the Least Common Multiple of 53984 and 53991