What is the Greatest Common Factor of 4635 and 4650?

Greatest common factor (GCF) of 4635 and 4650 is 15.

GCF(4635,4650) = 15

We will now calculate the prime factors of 4635 and 4650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4635 and 4650.

How to find the GCF of 4635 and 4650?

We will first find the prime factorization of 4635 and 4650. After we will calculate the factors of 4635 and 4650 and find the biggest common factor number .

Step-1: Prime Factorization of 4635

Prime factors of 4635 are 3, 5, 103. Prime factorization of 4635 in exponential form is:

4635 = 3² × 5¹ × 103¹

Step-2: Prime Factorization of 4650

Prime factors of 4650 are 2, 3, 5, 31. Prime factorization of 4650 in exponential form is:

4650 = 2¹ × 3¹ × 5² × 31¹

Step-3: Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545

Step-4: Factors of 4650

List of positive integer factors of 4650 that divides 4635 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4635 and 4650. The biggest common factor number is the GCF number.
So the greatest common factor 4635 and 4650 is 15.

Also check out the Least Common Multiple of 4635 and 4650