What is the Greatest Common Factor of 4648 and 4662?

Greatest common factor (GCF) of 4648 and 4662 is 14.

GCF(4648,4662) = 14

We will now calculate the prime factors of 4648 and 4662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4648 and 4662.

How to find the GCF of 4648 and 4662?

We will first find the prime factorization of 4648 and 4662. After we will calculate the factors of 4648 and 4662 and find the biggest common factor number .

Step-1: Prime Factorization of 4648

Prime factors of 4648 are 2, 7, 83. Prime factorization of 4648 in exponential form is:

4648 = 2³ × 7¹ × 83¹

Step-2: Prime Factorization of 4662

Prime factors of 4662 are 2, 3, 7, 37. Prime factorization of 4662 in exponential form is:

4662 = 2¹ × 3² × 7¹ × 37¹

Step-3: Factors of 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324

Step-4: Factors of 4662

List of positive integer factors of 4662 that divides 4648 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4648 and 4662. The biggest common factor number is the GCF number.
So the greatest common factor 4648 and 4662 is 14.

Also check out the Least Common Multiple of 4648 and 4662