What is the Greatest Common Factor of 66945 and 66960?

Greatest common factor (GCF) of 66945 and 66960 is 15.

GCF(66945,66960) = 15

We will now calculate the prime factors of 66945 and 66960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66945 and 66960.

How to find the GCF of 66945 and 66960?

We will first find the prime factorization of 66945 and 66960. After we will calculate the factors of 66945 and 66960 and find the biggest common factor number .

Step-1: Prime Factorization of 66945

Prime factors of 66945 are 3, 5, 4463. Prime factorization of 66945 in exponential form is:

66945 = 3¹ × 5¹ × 4463¹

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 66945

List of positive integer factors of 66945 that divides 66945 without a remainder.

1, 3, 5, 15, 4463, 13389, 22315

Step-4: Factors of 66960

List of positive integer factors of 66960 that divides 66945 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 66945 and 66960. The biggest common factor number is the GCF number.
So the greatest common factor 66945 and 66960 is 15.

Also check out the Least Common Multiple of 66945 and 66960