What is the Greatest Common Factor of 4662 and 4669?

Greatest common factor (GCF) of 4662 and 4669 is 7.

GCF(4662,4669) = 7

We will now calculate the prime factors of 4662 and 4669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4662 and 4669.

How to find the GCF of 4662 and 4669?

We will first find the prime factorization of 4662 and 4669. After we will calculate the factors of 4662 and 4669 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4669

Prime factors of 4669 are 7, 23, 29. Prime factorization of 4669 in exponential form is:

4669 = 7¹ × 23¹ × 29¹

Step-3: Factors of 4662

List of positive integer factors of 4662 that divides 4662 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

Step-4: Factors of 4669

List of positive integer factors of 4669 that divides 4662 without a remainder.

1, 7, 23, 29, 161, 203, 667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4662 and 4669. The biggest common factor number is the GCF number.
So the greatest common factor 4662 and 4669 is 7.

Also check out the Least Common Multiple of 4662 and 4669