What is the Greatest Common Factor of 41410 and 41425?

Greatest common factor (GCF) of 41410 and 41425 is 5.

GCF(41410,41425) = 5

We will now calculate the prime factors of 41410 and 41425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41410 and 41425.

How to find the GCF of 41410 and 41425?

We will first find the prime factorization of 41410 and 41425. After we will calculate the factors of 41410 and 41425 and find the biggest common factor number .

Step-1: Prime Factorization of 41410

Prime factors of 41410 are 2, 5, 41, 101. Prime factorization of 41410 in exponential form is:

41410 = 2¹ × 5¹ × 41¹ × 101¹

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 41410

List of positive integer factors of 41410 that divides 41410 without a remainder.

1, 2, 5, 10, 41, 82, 101, 202, 205, 410, 505, 1010, 4141, 8282, 20705

Step-4: Factors of 41425

List of positive integer factors of 41425 that divides 41410 without a remainder.

1, 5, 25, 1657, 8285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41410 and 41425. The biggest common factor number is the GCF number.
So the greatest common factor 41410 and 41425 is 5.

Also check out the Least Common Multiple of 41410 and 41425