What is the Greatest Common Factor of 53984 and 53990?

Greatest common factor (GCF) of 53984 and 53990 is 2.

GCF(53984,53990) = 2

We will now calculate the prime factors of 53984 and 53990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53984 and 53990.

How to find the GCF of 53984 and 53990?

We will first find the prime factorization of 53984 and 53990. After we will calculate the factors of 53984 and 53990 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 53990

Prime factors of 53990 are 2, 5, 5399. Prime factorization of 53990 in exponential form is:

53990 = 2¹ × 5¹ × 5399¹

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 53990

List of positive integer factors of 53990 that divides 53984 without a remainder.

1, 2, 5, 10, 5399, 10798, 26995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53984 and 53990. The biggest common factor number is the GCF number.
So the greatest common factor 53984 and 53990 is 2.

Also check out the Least Common Multiple of 53984 and 53990