What is the Greatest Common Factor of 66744 and 66760?

Greatest common factor (GCF) of 66744 and 66760 is 8.

GCF(66744,66760) = 8

We will now calculate the prime factors of 66744 and 66760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66744 and 66760.

How to find the GCF of 66744 and 66760?

We will first find the prime factorization of 66744 and 66760. After we will calculate the factors of 66744 and 66760 and find the biggest common factor number .

Step-1: Prime Factorization of 66744

Prime factors of 66744 are 2, 3, 103. Prime factorization of 66744 in exponential form is:

66744 = 2³ × 3⁴ × 103¹

Step-2: Prime Factorization of 66760

Prime factors of 66760 are 2, 5, 1669. Prime factorization of 66760 in exponential form is:

66760 = 2³ × 5¹ × 1669¹

Step-3: Factors of 66744

List of positive integer factors of 66744 that divides 66744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 103, 108, 162, 206, 216, 309, 324, 412, 618, 648, 824, 927, 1236, 1854, 2472, 2781, 3708, 5562, 7416, 8343, 11124, 16686, 22248, 33372

Step-4: Factors of 66760

List of positive integer factors of 66760 that divides 66744 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1669, 3338, 6676, 8345, 13352, 16690, 33380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66744 and 66760. The biggest common factor number is the GCF number.
So the greatest common factor 66744 and 66760 is 8.

Also check out the Least Common Multiple of 66744 and 66760