What is the Greatest Common Factor of 66960 and 66972?

Greatest common factor (GCF) of 66960 and 66972 is 12.

GCF(66960,66972) = 12

We will now calculate the prime factors of 66960 and 66972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66960 and 66972.

How to find the GCF of 66960 and 66972?

We will first find the prime factorization of 66960 and 66972. After we will calculate the factors of 66960 and 66972 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 66972

Prime factors of 66972 are 2, 3, 5581. Prime factorization of 66972 in exponential form is:

66972 = 2² × 3¹ × 5581¹

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 66972

List of positive integer factors of 66972 that divides 66960 without a remainder.

1, 2, 3, 4, 6, 12, 5581, 11162, 16743, 22324, 33486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66960 and 66972. The biggest common factor number is the GCF number.
So the greatest common factor 66960 and 66972 is 12.

Also check out the Least Common Multiple of 66960 and 66972