What is the Greatest Common Factor of 4675 and 4690?

Greatest common factor (GCF) of 4675 and 4690 is 5.

GCF(4675,4690) = 5

We will now calculate the prime factors of 4675 and 4690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4675 and 4690.

How to find the GCF of 4675 and 4690?

We will first find the prime factorization of 4675 and 4690. After we will calculate the factors of 4675 and 4690 and find the biggest common factor number .

Step-1: Prime Factorization of 4675

Prime factors of 4675 are 5, 11, 17. Prime factorization of 4675 in exponential form is:

4675 = 5² × 11¹ × 17¹

Step-2: Prime Factorization of 4690

Prime factors of 4690 are 2, 5, 7, 67. Prime factorization of 4690 in exponential form is:

4690 = 2¹ × 5¹ × 7¹ × 67¹

Step-3: Factors of 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935

Step-4: Factors of 4690

List of positive integer factors of 4690 that divides 4675 without a remainder.

1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4675 and 4690. The biggest common factor number is the GCF number.
So the greatest common factor 4675 and 4690 is 5.

Also check out the Least Common Multiple of 4675 and 4690