What is the Greatest Common Factor of 53982 and 53998?

Greatest common factor (GCF) of 53982 and 53998 is 2.

GCF(53982,53998) = 2

We will now calculate the prime factors of 53982 and 53998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53982 and 53998.

How to find the GCF of 53982 and 53998?

We will first find the prime factorization of 53982 and 53998. After we will calculate the factors of 53982 and 53998 and find the biggest common factor number .

Step-1: Prime Factorization of 53982

Prime factors of 53982 are 2, 3, 2999. Prime factorization of 53982 in exponential form is:

53982 = 2¹ × 3² × 2999¹

Step-2: Prime Factorization of 53998

Prime factors of 53998 are 2, 7, 19, 29. Prime factorization of 53998 in exponential form is:

53998 = 2¹ × 7² × 19¹ × 29¹

Step-3: Factors of 53982

List of positive integer factors of 53982 that divides 53982 without a remainder.

1, 2, 3, 6, 9, 18, 2999, 5998, 8997, 17994, 26991

Step-4: Factors of 53998

List of positive integer factors of 53998 that divides 53982 without a remainder.

1, 2, 7, 14, 19, 29, 38, 49, 58, 98, 133, 203, 266, 406, 551, 931, 1102, 1421, 1862, 2842, 3857, 7714, 26999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53982 and 53998. The biggest common factor number is the GCF number.
So the greatest common factor 53982 and 53998 is 2.

Also check out the Least Common Multiple of 53982 and 53998