What is the Greatest Common Factor of 4620 and 4634?

Greatest common factor (GCF) of 4620 and 4634 is 14.

GCF(4620,4634) = 14

We will now calculate the prime factors of 4620 and 4634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4620 and 4634.

How to find the GCF of 4620 and 4634?

We will first find the prime factorization of 4620 and 4634. After we will calculate the factors of 4620 and 4634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4634

Prime factors of 4634 are 2, 7, 331. Prime factorization of 4634 in exponential form is:

4634 = 2¹ × 7¹ × 331¹

Step-3: Factors of 4620

List of positive integer factors of 4620 that divides 4620 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

Step-4: Factors of 4634

List of positive integer factors of 4634 that divides 4620 without a remainder.

1, 2, 7, 14, 331, 662, 2317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4620 and 4634. The biggest common factor number is the GCF number.
So the greatest common factor 4620 and 4634 is 14.

Also check out the Least Common Multiple of 4620 and 4634