What is the Greatest Common Factor of 4674 and 4685?

Greatest common factor (GCF) of 4674 and 4685 is 1.

GCF(4674,4685) = 1

We will now calculate the prime factors of 4674 and 4685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4674 and 4685.

How to find the GCF of 4674 and 4685?

We will first find the prime factorization of 4674 and 4685. After we will calculate the factors of 4674 and 4685 and find the biggest common factor number .

Step-1: Prime Factorization of 4674

Prime factors of 4674 are 2, 3, 19, 41. Prime factorization of 4674 in exponential form is:

4674 = 2¹ × 3¹ × 19¹ × 41¹

Step-2: Prime Factorization of 4685

Prime factors of 4685 are 5, 937. Prime factorization of 4685 in exponential form is:

4685 = 5¹ × 937¹

Step-3: Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337

Step-4: Factors of 4685

List of positive integer factors of 4685 that divides 4674 without a remainder.

1, 5, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4674 and 4685. The biggest common factor number is the GCF number.
So the greatest common factor 4674 and 4685 is 1.

Also check out the Least Common Multiple of 4674 and 4685