What is the Greatest Common Factor of 41968 and 41986?

Greatest common factor (GCF) of 41968 and 41986 is 2.

GCF(41968,41986) = 2

We will now calculate the prime factors of 41968 and 41986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41968 and 41986.

How to find the GCF of 41968 and 41986?

We will first find the prime factorization of 41968 and 41986. After we will calculate the factors of 41968 and 41986 and find the biggest common factor number .

Step-1: Prime Factorization of 41968

Prime factors of 41968 are 2, 43, 61. Prime factorization of 41968 in exponential form is:

41968 = 2⁴ × 43¹ × 61¹

Step-2: Prime Factorization of 41986

Prime factors of 41986 are 2, 7, 2999. Prime factorization of 41986 in exponential form is:

41986 = 2¹ × 7¹ × 2999¹

Step-3: Factors of 41968

List of positive integer factors of 41968 that divides 41968 without a remainder.

1, 2, 4, 8, 16, 43, 61, 86, 122, 172, 244, 344, 488, 688, 976, 2623, 5246, 10492, 20984

Step-4: Factors of 41986

List of positive integer factors of 41986 that divides 41968 without a remainder.

1, 2, 7, 14, 2999, 5998, 20993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41968 and 41986. The biggest common factor number is the GCF number.
So the greatest common factor 41968 and 41986 is 2.

Also check out the Least Common Multiple of 41968 and 41986