What is the Greatest Common Factor of 4602 and 4615?

Greatest common factor (GCF) of 4602 and 4615 is 13.

GCF(4602,4615) = 13

We will now calculate the prime factors of 4602 and 4615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4602 and 4615.

How to find the GCF of 4602 and 4615?

We will first find the prime factorization of 4602 and 4615. After we will calculate the factors of 4602 and 4615 and find the biggest common factor number .

Step-1: Prime Factorization of 4602

Prime factors of 4602 are 2, 3, 13, 59. Prime factorization of 4602 in exponential form is:

4602 = 2¹ × 3¹ × 13¹ × 59¹

Step-2: Prime Factorization of 4615

Prime factors of 4615 are 5, 13, 71. Prime factorization of 4615 in exponential form is:

4615 = 5¹ × 13¹ × 71¹

Step-3: Factors of 4602

List of positive integer factors of 4602 that divides 4602 without a remainder.

1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301

Step-4: Factors of 4615

List of positive integer factors of 4615 that divides 4602 without a remainder.

1, 5, 13, 65, 71, 355, 923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4602 and 4615. The biggest common factor number is the GCF number.
So the greatest common factor 4602 and 4615 is 13.

Also check out the Least Common Multiple of 4602 and 4615