What is the Greatest Common Factor of 4606 and 4625?

Greatest common factor (GCF) of 4606 and 4625 is 1.

GCF(4606,4625) = 1

We will now calculate the prime factors of 4606 and 4625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4606 and 4625.

How to find the GCF of 4606 and 4625?

We will first find the prime factorization of 4606 and 4625. After we will calculate the factors of 4606 and 4625 and find the biggest common factor number .

Step-1: Prime Factorization of 4606

Prime factors of 4606 are 2, 7, 47. Prime factorization of 4606 in exponential form is:

4606 = 2¹ × 7² × 47¹

Step-2: Prime Factorization of 4625

Prime factors of 4625 are 5, 37. Prime factorization of 4625 in exponential form is:

4625 = 5³ × 37¹

Step-3: Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303

Step-4: Factors of 4625

List of positive integer factors of 4625 that divides 4606 without a remainder.

1, 5, 25, 37, 125, 185, 925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4606 and 4625. The biggest common factor number is the GCF number.
So the greatest common factor 4606 and 4625 is 1.

Also check out the Least Common Multiple of 4606 and 4625