What is the Greatest Common Factor of 41930 and 41944?

Greatest common factor (GCF) of 41930 and 41944 is 14.

GCF(41930,41944) = 14

We will now calculate the prime factors of 41930 and 41944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41930 and 41944.

How to find the GCF of 41930 and 41944?

We will first find the prime factorization of 41930 and 41944. After we will calculate the factors of 41930 and 41944 and find the biggest common factor number .

Step-1: Prime Factorization of 41930

Prime factors of 41930 are 2, 5, 7, 599. Prime factorization of 41930 in exponential form is:

41930 = 2¹ × 5¹ × 7¹ × 599¹

Step-2: Prime Factorization of 41944

Prime factors of 41944 are 2, 7, 107. Prime factorization of 41944 in exponential form is:

41944 = 2³ × 7² × 107¹

Step-3: Factors of 41930

List of positive integer factors of 41930 that divides 41930 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 599, 1198, 2995, 4193, 5990, 8386, 20965

Step-4: Factors of 41944

List of positive integer factors of 41944 that divides 41930 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 107, 196, 214, 392, 428, 749, 856, 1498, 2996, 5243, 5992, 10486, 20972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41930 and 41944. The biggest common factor number is the GCF number.
So the greatest common factor 41930 and 41944 is 14.

Also check out the Least Common Multiple of 41930 and 41944