What is the Greatest Common Factor of 41958 and 41962?

Greatest common factor (GCF) of 41958 and 41962 is 2.

GCF(41958,41962) = 2

We will now calculate the prime factors of 41958 and 41962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41958 and 41962.

How to find the GCF of 41958 and 41962?

We will first find the prime factorization of 41958 and 41962. After we will calculate the factors of 41958 and 41962 and find the biggest common factor number .

Step-1: Prime Factorization of 41958

Prime factors of 41958 are 2, 3, 7, 37. Prime factorization of 41958 in exponential form is:

41958 = 2¹ × 3⁴ × 7¹ × 37¹

Step-2: Prime Factorization of 41962

Prime factors of 41962 are 2, 20981. Prime factorization of 41962 in exponential form is:

41962 = 2¹ × 20981¹

Step-3: Factors of 41958

List of positive integer factors of 41958 that divides 41958 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 37, 42, 54, 63, 74, 81, 111, 126, 162, 189, 222, 259, 333, 378, 518, 567, 666, 777, 999, 1134, 1554, 1998, 2331, 2997, 4662, 5994, 6993, 13986, 20979

Step-4: Factors of 41962

List of positive integer factors of 41962 that divides 41958 without a remainder.

1, 2, 20981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41958 and 41962. The biggest common factor number is the GCF number.
So the greatest common factor 41958 and 41962 is 2.

Also check out the Least Common Multiple of 41958 and 41962