What is the Greatest Common Factor of 19942 and 19958?

Greatest common factor (GCF) of 19942 and 19958 is 2.

GCF(19942,19958) = 2

We will now calculate the prime factors of 19942 and 19958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19942 and 19958.

How to find the GCF of 19942 and 19958?

We will first find the prime factorization of 19942 and 19958. After we will calculate the factors of 19942 and 19958 and find the biggest common factor number .

Step-1: Prime Factorization of 19942

Prime factors of 19942 are 2, 13, 59. Prime factorization of 19942 in exponential form is:

19942 = 2¹ × 13² × 59¹

Step-2: Prime Factorization of 19958

Prime factors of 19958 are 2, 17, 587. Prime factorization of 19958 in exponential form is:

19958 = 2¹ × 17¹ × 587¹

Step-3: Factors of 19942

List of positive integer factors of 19942 that divides 19942 without a remainder.

1, 2, 13, 26, 59, 118, 169, 338, 767, 1534, 9971

Step-4: Factors of 19958

List of positive integer factors of 19958 that divides 19942 without a remainder.

1, 2, 17, 34, 587, 1174, 9979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19942 and 19958. The biggest common factor number is the GCF number.
So the greatest common factor 19942 and 19958 is 2.

Also check out the Least Common Multiple of 19942 and 19958