What is the Greatest Common Factor of 41920 and 41930?

Greatest common factor (GCF) of 41920 and 41930 is 10.

GCF(41920,41930) = 10

We will now calculate the prime factors of 41920 and 41930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41920 and 41930.

How to find the GCF of 41920 and 41930?

We will first find the prime factorization of 41920 and 41930. After we will calculate the factors of 41920 and 41930 and find the biggest common factor number .

Step-1: Prime Factorization of 41920

Prime factors of 41920 are 2, 5, 131. Prime factorization of 41920 in exponential form is:

41920 = 2⁶ × 5¹ × 131¹

Step-2: 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-3: Factors of 41920

List of positive integer factors of 41920 that divides 41920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 131, 160, 262, 320, 524, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 20960

Step-4: Factors of 41930

List of positive integer factors of 41930 that divides 41920 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41920 and 41930. The biggest common factor number is the GCF number.
So the greatest common factor 41920 and 41930 is 10.

Also check out the Least Common Multiple of 41920 and 41930