What is the Greatest Common Factor of 41950 and 41960?

Greatest common factor (GCF) of 41950 and 41960 is 10.

GCF(41950,41960) = 10

We will now calculate the prime factors of 41950 and 41960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41950 and 41960.

How to find the GCF of 41950 and 41960?

We will first find the prime factorization of 41950 and 41960. After we will calculate the factors of 41950 and 41960 and find the biggest common factor number .

Step-1: Prime Factorization of 41950

Prime factors of 41950 are 2, 5, 839. Prime factorization of 41950 in exponential form is:

41950 = 2¹ × 5² × 839¹

Step-2: Prime Factorization of 41960

Prime factors of 41960 are 2, 5, 1049. Prime factorization of 41960 in exponential form is:

41960 = 2³ × 5¹ × 1049¹

Step-3: Factors of 41950

List of positive integer factors of 41950 that divides 41950 without a remainder.

1, 2, 5, 10, 25, 50, 839, 1678, 4195, 8390, 20975

Step-4: Factors of 41960

List of positive integer factors of 41960 that divides 41950 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1049, 2098, 4196, 5245, 8392, 10490, 20980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41950 and 41960. The biggest common factor number is the GCF number.
So the greatest common factor 41950 and 41960 is 10.

Also check out the Least Common Multiple of 41950 and 41960