What is the Greatest Common Factor of 68523 and 68529?

Greatest common factor (GCF) of 68523 and 68529 is 3.

GCF(68523,68529) = 3

We will now calculate the prime factors of 68523 and 68529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68523 and 68529.

How to find the GCF of 68523 and 68529?

We will first find the prime factorization of 68523 and 68529. After we will calculate the factors of 68523 and 68529 and find the biggest common factor number .

Step-1: Prime Factorization of 68523

Prime factors of 68523 are 3, 7, 13, 251. Prime factorization of 68523 in exponential form is:

68523 = 3¹ × 7¹ × 13¹ × 251¹

Step-2: Prime Factorization of 68529

Prime factors of 68529 are 3, 53, 431. Prime factorization of 68529 in exponential form is:

68529 = 3¹ × 53¹ × 431¹

Step-3: Factors of 68523

List of positive integer factors of 68523 that divides 68523 without a remainder.

1, 3, 7, 13, 21, 39, 91, 251, 273, 753, 1757, 3263, 5271, 9789, 22841

Step-4: Factors of 68529

List of positive integer factors of 68529 that divides 68523 without a remainder.

1, 3, 53, 159, 431, 1293, 22843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68523 and 68529. The biggest common factor number is the GCF number.
So the greatest common factor 68523 and 68529 is 3.

Also check out the Least Common Multiple of 68523 and 68529