What is the Greatest Common Factor of 41951 and 41958?

Greatest common factor (GCF) of 41951 and 41958 is 7.

GCF(41951,41958) = 7

We will now calculate the prime factors of 41951 and 41958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41951 and 41958.

How to find the GCF of 41951 and 41958?

We will first find the prime factorization of 41951 and 41958. After we will calculate the factors of 41951 and 41958 and find the biggest common factor number .

Step-1: Prime Factorization of 41951

Prime factors of 41951 are 7, 13, 461. Prime factorization of 41951 in exponential form is:

41951 = 7¹ × 13¹ × 461¹

Step-2: 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-3: Factors of 41951

List of positive integer factors of 41951 that divides 41951 without a remainder.

1, 7, 13, 91, 461, 3227, 5993

Step-4: Factors of 41958

List of positive integer factors of 41958 that divides 41951 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41951 and 41958. The biggest common factor number is the GCF number.
So the greatest common factor 41951 and 41958 is 7.

Also check out the Least Common Multiple of 41951 and 41958