What is the Greatest Common Factor of 68742 and 68760?

Greatest common factor (GCF) of 68742 and 68760 is 18.

GCF(68742,68760) = 18

We will now calculate the prime factors of 68742 and 68760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68742 and 68760.

How to find the GCF of 68742 and 68760?

We will first find the prime factorization of 68742 and 68760. After we will calculate the factors of 68742 and 68760 and find the biggest common factor number .

Step-1: Prime Factorization of 68742

Prime factors of 68742 are 2, 3, 19, 67. Prime factorization of 68742 in exponential form is:

68742 = 2¹ × 3³ × 19¹ × 67¹

Step-2: 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-3: Factors of 68742

List of positive integer factors of 68742 that divides 68742 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 67, 114, 134, 171, 201, 342, 402, 513, 603, 1026, 1206, 1273, 1809, 2546, 3618, 3819, 7638, 11457, 22914, 34371

Step-4: Factors of 68760

List of positive integer factors of 68760 that divides 68742 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68742 and 68760. The biggest common factor number is the GCF number.
So the greatest common factor 68742 and 68760 is 18.

Also check out the Least Common Multiple of 68742 and 68760