What is the Greatest Common Factor of 66954 and 66960?

Greatest common factor (GCF) of 66954 and 66960 is 6.

GCF(66954,66960) = 6

We will now calculate the prime factors of 66954 and 66960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66954 and 66960.

How to find the GCF of 66954 and 66960?

We will first find the prime factorization of 66954 and 66960. After we will calculate the factors of 66954 and 66960 and find the biggest common factor number .

Step-1: Prime Factorization of 66954

Prime factors of 66954 are 2, 3, 11159. Prime factorization of 66954 in exponential form is:

66954 = 2¹ × 3¹ × 11159¹

Step-2: Prime Factorization of 66960

Prime factors of 66960 are 2, 3, 5, 31. Prime factorization of 66960 in exponential form is:

66960 = 2⁴ × 3³ × 5¹ × 31¹

Step-3: Factors of 66954

List of positive integer factors of 66954 that divides 66954 without a remainder.

1, 2, 3, 6, 11159, 22318, 33477

Step-4: Factors of 66960

List of positive integer factors of 66960 that divides 66954 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 31, 36, 40, 45, 48, 54, 60, 62, 72, 80, 90, 93, 108, 120, 124, 135, 144, 155, 180, 186, 216, 240, 248, 270, 279, 310, 360, 372, 432, 465, 496, 540, 558, 620, 720, 744, 837, 930, 1080, 1116, 1240, 1395, 1488, 1674, 1860, 2160, 2232, 2480, 2790, 3348, 3720, 4185, 4464, 5580, 6696, 7440, 8370, 11160, 13392, 16740, 22320, 33480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66954 and 66960. The biggest common factor number is the GCF number.
So the greatest common factor 66954 and 66960 is 6.

Also check out the Least Common Multiple of 66954 and 66960