What is the Greatest Common Factor of 4650 and 4660?

Greatest common factor (GCF) of 4650 and 4660 is 10.

GCF(4650,4660) = 10

We will now calculate the prime factors of 4650 and 4660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4650 and 4660.

How to find the GCF of 4650 and 4660?

We will first find the prime factorization of 4650 and 4660. After we will calculate the factors of 4650 and 4660 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4660

Prime factors of 4660 are 2, 5, 233. Prime factorization of 4660 in exponential form is:

4660 = 2² × 5¹ × 233¹

Step-3: Factors of 4650

List of positive integer factors of 4650 that divides 4650 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

Step-4: Factors of 4660

List of positive integer factors of 4660 that divides 4650 without a remainder.

1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4650 and 4660. The biggest common factor number is the GCF number.
So the greatest common factor 4650 and 4660 is 10.

Also check out the Least Common Multiple of 4650 and 4660