What is the Greatest Common Factor of 41958 and 41967?

Greatest common factor (GCF) of 41958 and 41967 is 9.

GCF(41958,41967) = 9

We will now calculate the prime factors of 41958 and 41967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41958 and 41967.

How to find the GCF of 41958 and 41967?

We will first find the prime factorization of 41958 and 41967. After we will calculate the factors of 41958 and 41967 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 41967

Prime factors of 41967 are 3, 4663. Prime factorization of 41967 in exponential form is:

41967 = 3² × 4663¹

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 41967

List of positive integer factors of 41967 that divides 41958 without a remainder.

1, 3, 9, 4663, 13989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41958 and 41967. The biggest common factor number is the GCF number.
So the greatest common factor 41958 and 41967 is 9.

Also check out the Least Common Multiple of 41958 and 41967