What is the Greatest Common Factor of 66648 and 66652?

Greatest common factor (GCF) of 66648 and 66652 is 4.

GCF(66648,66652) = 4

We will now calculate the prime factors of 66648 and 66652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66648 and 66652.

How to find the GCF of 66648 and 66652?

We will first find the prime factorization of 66648 and 66652. After we will calculate the factors of 66648 and 66652 and find the biggest common factor number .

Step-1: Prime Factorization of 66648

Prime factors of 66648 are 2, 3, 2777. Prime factorization of 66648 in exponential form is:

66648 = 2³ × 3¹ × 2777¹

Step-2: Prime Factorization of 66652

Prime factors of 66652 are 2, 19, 877. Prime factorization of 66652 in exponential form is:

66652 = 2² × 19¹ × 877¹

Step-3: Factors of 66648

List of positive integer factors of 66648 that divides 66648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2777, 5554, 8331, 11108, 16662, 22216, 33324

Step-4: Factors of 66652

List of positive integer factors of 66652 that divides 66648 without a remainder.

1, 2, 4, 19, 38, 76, 877, 1754, 3508, 16663, 33326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66648 and 66652. The biggest common factor number is the GCF number.
So the greatest common factor 66648 and 66652 is 4.

Also check out the Least Common Multiple of 66648 and 66652