What is the Greatest Common Factor of 99958 and 99970?

Greatest common factor (GCF) of 99958 and 99970 is 2.

GCF(99958,99970) = 2

We will now calculate the prime factors of 99958 and 99970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99958 and 99970.

How to find the GCF of 99958 and 99970?

We will first find the prime factorization of 99958 and 99970. After we will calculate the factors of 99958 and 99970 and find the biggest common factor number .

Step-1: Prime Factorization of 99958

Prime factors of 99958 are 2, 23, 41, 53. Prime factorization of 99958 in exponential form is:

99958 = 2¹ × 23¹ × 41¹ × 53¹

Step-2: Prime Factorization of 99970

Prime factors of 99970 are 2, 5, 13, 769. Prime factorization of 99970 in exponential form is:

99970 = 2¹ × 5¹ × 13¹ × 769¹

Step-3: Factors of 99958

List of positive integer factors of 99958 that divides 99958 without a remainder.

1, 2, 23, 41, 46, 53, 82, 106, 943, 1219, 1886, 2173, 2438, 4346, 49979

Step-4: Factors of 99970

List of positive integer factors of 99970 that divides 99958 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 769, 1538, 3845, 7690, 9997, 19994, 49985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99958 and 99970. The biggest common factor number is the GCF number.
So the greatest common factor 99958 and 99970 is 2.

Also check out the Least Common Multiple of 99958 and 99970