What is the Greatest Common Factor of 4680 and 4700?

Greatest common factor (GCF) of 4680 and 4700 is 20.

GCF(4680,4700) = 20

We will now calculate the prime factors of 4680 and 4700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4680 and 4700.

How to find the GCF of 4680 and 4700?

We will first find the prime factorization of 4680 and 4700. After we will calculate the factors of 4680 and 4700 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4700

Prime factors of 4700 are 2, 5, 47. Prime factorization of 4700 in exponential form is:

4700 = 2² × 5² × 47¹

Step-3: Factors of 4680

List of positive integer factors of 4680 that divides 4680 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

Step-4: Factors of 4700

List of positive integer factors of 4700 that divides 4680 without a remainder.

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4680 and 4700. The biggest common factor number is the GCF number.
So the greatest common factor 4680 and 4700 is 20.

Also check out the Least Common Multiple of 4680 and 4700