What is the Greatest Common Factor of 4650 and 4670?

Greatest common factor (GCF) of 4650 and 4670 is 10.

GCF(4650,4670) = 10

We will now calculate the prime factors of 4650 and 4670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4650 and 4670.

How to find the GCF of 4650 and 4670?

We will first find the prime factorization of 4650 and 4670. After we will calculate the factors of 4650 and 4670 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 4670

Prime factors of 4670 are 2, 5, 467. Prime factorization of 4670 in exponential form is:

4670 = 2¹ × 5¹ × 467¹

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 4670

List of positive integer factors of 4670 that divides 4650 without a remainder.

1, 2, 5, 10, 467, 934, 2335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4650 and 4670. The biggest common factor number is the GCF number.
So the greatest common factor 4650 and 4670 is 10.

Also check out the Least Common Multiple of 4650 and 4670