What is the Greatest Common Factor of 4690 and 4700?

Greatest common factor (GCF) of 4690 and 4700 is 10.

GCF(4690,4700) = 10

We will now calculate the prime factors of 4690 and 4700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4690 and 4700.

How to find the GCF of 4690 and 4700?

We will first find the prime factorization of 4690 and 4700. After we will calculate the factors of 4690 and 4700 and find the biggest common factor number .

Step-1: 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-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 4690

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

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

Step-4: Factors of 4700

List of positive integer factors of 4700 that divides 4690 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 4690 and 4700. The biggest common factor number is the GCF number.
So the greatest common factor 4690 and 4700 is 10.

Also check out the Least Common Multiple of 4690 and 4700