What is the Greatest Common Factor of 2414 and 2425?

Greatest common factor (GCF) of 2414 and 2425 is 1.

GCF(2414,2425) = 1

We will now calculate the prime factors of 2414 and 2425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2414 and 2425.

How to find the GCF of 2414 and 2425?

We will first find the prime factorization of 2414 and 2425. After we will calculate the factors of 2414 and 2425 and find the biggest common factor number .

Step-1: Prime Factorization of 2414

Prime factors of 2414 are 2, 17, 71. Prime factorization of 2414 in exponential form is:

2414 = 2¹ × 17¹ × 71¹

Step-2: Prime Factorization of 2425

Prime factors of 2425 are 5, 97. Prime factorization of 2425 in exponential form is:

2425 = 5² × 97¹

Step-3: Factors of 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1, 2, 17, 34, 71, 142, 1207

Step-4: Factors of 2425

List of positive integer factors of 2425 that divides 2414 without a remainder.

1, 5, 25, 97, 485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2414 and 2425. The biggest common factor number is the GCF number.
So the greatest common factor 2414 and 2425 is 1.

Also check out the Least Common Multiple of 2414 and 2425