What is the Greatest Common Factor of 66960 and 66978?

Greatest common factor (GCF) of 66960 and 66978 is 18.

GCF(66960,66978) = 18

We will now calculate the prime factors of 66960 and 66978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66960 and 66978.

How to find the GCF of 66960 and 66978?

We will first find the prime factorization of 66960 and 66978. After we will calculate the factors of 66960 and 66978 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66978

Prime factors of 66978 are 2, 3, 61. Prime factorization of 66978 in exponential form is:

66978 = 2¹ × 3² × 61²

Step-3: Factors of 66960

List of positive integer factors of 66960 that divides 66960 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

Step-4: Factors of 66978

List of positive integer factors of 66978 that divides 66960 without a remainder.

1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098, 3721, 7442, 11163, 22326, 33489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66960 and 66978. The biggest common factor number is the GCF number.
So the greatest common factor 66960 and 66978 is 18.

Also check out the Least Common Multiple of 66960 and 66978