What is the Greatest Common Factor of 4606 and 4620?

Greatest common factor (GCF) of 4606 and 4620 is 14.

GCF(4606,4620) = 14

We will now calculate the prime factors of 4606 and 4620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4606 and 4620.

How to find the GCF of 4606 and 4620?

We will first find the prime factorization of 4606 and 4620. After we will calculate the factors of 4606 and 4620 and find the biggest common factor number .

Step-1: Prime Factorization of 4606

Prime factors of 4606 are 2, 7, 47. Prime factorization of 4606 in exponential form is:

4606 = 2¹ × 7² × 47¹

Step-2: Prime Factorization of 4620

Prime factors of 4620 are 2, 3, 5, 7, 11. Prime factorization of 4620 in exponential form is:

4620 = 2² × 3¹ × 5¹ × 7¹ × 11¹

Step-3: Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303

Step-4: Factors of 4620

List of positive integer factors of 4620 that divides 4606 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4606 and 4620. The biggest common factor number is the GCF number.
So the greatest common factor 4606 and 4620 is 14.

Also check out the Least Common Multiple of 4606 and 4620