What is the Greatest Common Factor of 68760 and 68772?

Greatest common factor (GCF) of 68760 and 68772 is 12.

GCF(68760,68772) = 12

We will now calculate the prime factors of 68760 and 68772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68760 and 68772.

How to find the GCF of 68760 and 68772?

We will first find the prime factorization of 68760 and 68772. After we will calculate the factors of 68760 and 68772 and find the biggest common factor number .

Step-1: Prime Factorization of 68760

Prime factors of 68760 are 2, 3, 5, 191. Prime factorization of 68760 in exponential form is:

68760 = 2³ × 3² × 5¹ × 191¹

Step-2: Prime Factorization of 68772

Prime factors of 68772 are 2, 3, 11, 521. Prime factorization of 68772 in exponential form is:

68772 = 2² × 3¹ × 11¹ × 521¹

Step-3: Factors of 68760

List of positive integer factors of 68760 that divides 68760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 191, 360, 382, 573, 764, 955, 1146, 1528, 1719, 1910, 2292, 2865, 3438, 3820, 4584, 5730, 6876, 7640, 8595, 11460, 13752, 17190, 22920, 34380

Step-4: Factors of 68772

List of positive integer factors of 68772 that divides 68760 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 521, 1042, 1563, 2084, 3126, 5731, 6252, 11462, 17193, 22924, 34386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68760 and 68772. The biggest common factor number is the GCF number.
So the greatest common factor 68760 and 68772 is 12.

Also check out the Least Common Multiple of 68760 and 68772