What is the Greatest Common Factor of 4675 and 4680?

Greatest common factor (GCF) of 4675 and 4680 is 5.

GCF(4675,4680) = 5

We will now calculate the prime factors of 4675 and 4680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4675 and 4680.

How to find the GCF of 4675 and 4680?

We will first find the prime factorization of 4675 and 4680. After we will calculate the factors of 4675 and 4680 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 4680

Prime factors of 4680 are 2, 3, 5, 13. Prime factorization of 4680 in exponential form is:

4680 = 2³ × 3² × 5¹ × 13¹

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 4680

List of positive integer factors of 4680 that divides 4675 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4675 and 4680. The biggest common factor number is the GCF number.
So the greatest common factor 4675 and 4680 is 5.

Also check out the Least Common Multiple of 4675 and 4680