What is the Greatest Common Factor of 4690 and 4704?

Greatest common factor (GCF) of 4690 and 4704 is 14.

GCF(4690,4704) = 14

We will now calculate the prime factors of 4690 and 4704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4690 and 4704.

How to find the GCF of 4690 and 4704?

We will first find the prime factorization of 4690 and 4704. After we will calculate the factors of 4690 and 4704 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 4704

Prime factors of 4704 are 2, 3, 7. Prime factorization of 4704 in exponential form is:

4704 = 2⁵ × 3¹ × 7²

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 4704

List of positive integer factors of 4704 that divides 4690 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4690 and 4704. The biggest common factor number is the GCF number.
So the greatest common factor 4690 and 4704 is 14.

Also check out the Least Common Multiple of 4690 and 4704