What is the Greatest Common Factor of 41974 and 41980?

Greatest common factor (GCF) of 41974 and 41980 is 2.

GCF(41974,41980) = 2

We will now calculate the prime factors of 41974 and 41980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41974 and 41980.

How to find the GCF of 41974 and 41980?

We will first find the prime factorization of 41974 and 41980. After we will calculate the factors of 41974 and 41980 and find the biggest common factor number .

Step-1: Prime Factorization of 41974

Prime factors of 41974 are 2, 31, 677. Prime factorization of 41974 in exponential form is:

41974 = 2¹ × 31¹ × 677¹

Step-2: Prime Factorization of 41980

Prime factors of 41980 are 2, 5, 2099. Prime factorization of 41980 in exponential form is:

41980 = 2² × 5¹ × 2099¹

Step-3: Factors of 41974

List of positive integer factors of 41974 that divides 41974 without a remainder.

1, 2, 31, 62, 677, 1354, 20987

Step-4: Factors of 41980

List of positive integer factors of 41980 that divides 41974 without a remainder.

1, 2, 4, 5, 10, 20, 2099, 4198, 8396, 10495, 20990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41974 and 41980. The biggest common factor number is the GCF number.
So the greatest common factor 41974 and 41980 is 2.

Also check out the Least Common Multiple of 41974 and 41980