What is the Greatest Common Factor of 4645 and 4650?

Greatest common factor (GCF) of 4645 and 4650 is 5.

GCF(4645,4650) = 5

We will now calculate the prime factors of 4645 and 4650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4645 and 4650.

How to find the GCF of 4645 and 4650?

We will first find the prime factorization of 4645 and 4650. After we will calculate the factors of 4645 and 4650 and find the biggest common factor number .

Step-1: Prime Factorization of 4645

Prime factors of 4645 are 5, 929. Prime factorization of 4645 in exponential form is:

4645 = 5¹ × 929¹

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 4645

List of positive integer factors of 4645 that divides 4645 without a remainder.

1, 5, 929

Step-4: Factors of 4650

List of positive integer factors of 4650 that divides 4645 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 4645 and 4650. The biggest common factor number is the GCF number.
So the greatest common factor 4645 and 4650 is 5.

Also check out the Least Common Multiple of 4645 and 4650