What is the Greatest Common Factor of 68723 and 68742?

Greatest common factor (GCF) of 68723 and 68742 is 19.

GCF(68723,68742) = 19

We will now calculate the prime factors of 68723 and 68742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68723 and 68742.

How to find the GCF of 68723 and 68742?

We will first find the prime factorization of 68723 and 68742. After we will calculate the factors of 68723 and 68742 and find the biggest common factor number .

Step-1: Prime Factorization of 68723

Prime factors of 68723 are 19, 3617. Prime factorization of 68723 in exponential form is:

68723 = 19¹ × 3617¹

Step-2: 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-3: Factors of 68723

List of positive integer factors of 68723 that divides 68723 without a remainder.

1, 19, 3617

Step-4: Factors of 68742

List of positive integer factors of 68742 that divides 68723 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68723 and 68742. The biggest common factor number is the GCF number.
So the greatest common factor 68723 and 68742 is 19.

Also check out the Least Common Multiple of 68723 and 68742