What is the Greatest Common Factor of 41420 and 41425?

Greatest common factor (GCF) of 41420 and 41425 is 5.

GCF(41420,41425) = 5

We will now calculate the prime factors of 41420 and 41425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41420 and 41425.

How to find the GCF of 41420 and 41425?

We will first find the prime factorization of 41420 and 41425. After we will calculate the factors of 41420 and 41425 and find the biggest common factor number .

Step-1: Prime Factorization of 41420

Prime factors of 41420 are 2, 5, 19, 109. Prime factorization of 41420 in exponential form is:

41420 = 2² × 5¹ × 19¹ × 109¹

Step-2: Prime Factorization of 41425

Prime factors of 41425 are 5, 1657. Prime factorization of 41425 in exponential form is:

41425 = 5² × 1657¹

Step-3: Factors of 41420

List of positive integer factors of 41420 that divides 41420 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 109, 190, 218, 380, 436, 545, 1090, 2071, 2180, 4142, 8284, 10355, 20710

Step-4: Factors of 41425

List of positive integer factors of 41425 that divides 41420 without a remainder.

1, 5, 25, 1657, 8285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41420 and 41425. The biggest common factor number is the GCF number.
So the greatest common factor 41420 and 41425 is 5.

Also check out the Least Common Multiple of 41420 and 41425