What is the Greatest Common Factor of 66240 and 66252?

Greatest common factor (GCF) of 66240 and 66252 is 12.

GCF(66240,66252) = 12

We will now calculate the prime factors of 66240 and 66252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66240 and 66252.

How to find the GCF of 66240 and 66252?

We will first find the prime factorization of 66240 and 66252. After we will calculate the factors of 66240 and 66252 and find the biggest common factor number .

Step-1: Prime Factorization of 66240

Prime factors of 66240 are 2, 3, 5, 23. Prime factorization of 66240 in exponential form is:

66240 = 2⁶ × 3² × 5¹ × 23¹

Step-2: Prime Factorization of 66252

Prime factors of 66252 are 2, 3, 5521. Prime factorization of 66252 in exponential form is:

66252 = 2² × 3¹ × 5521¹

Step-3: Factors of 66240

List of positive integer factors of 66240 that divides 66240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 32, 36, 40, 45, 46, 48, 60, 64, 69, 72, 80, 90, 92, 96, 115, 120, 138, 144, 160, 180, 184, 192, 207, 230, 240, 276, 288, 320, 345, 360, 368, 414, 460, 480, 552, 576, 690, 720, 736, 828, 920, 960, 1035, 1104, 1380, 1440, 1472, 1656, 1840, 2070, 2208, 2760, 2880, 3312, 3680, 4140, 4416, 5520, 6624, 7360, 8280, 11040, 13248, 16560, 22080, 33120

Step-4: Factors of 66252

List of positive integer factors of 66252 that divides 66240 without a remainder.

1, 2, 3, 4, 6, 12, 5521, 11042, 16563, 22084, 33126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66240 and 66252. The biggest common factor number is the GCF number.
So the greatest common factor 66240 and 66252 is 12.

Also check out the Least Common Multiple of 66240 and 66252