What is the Greatest Common Factor of 68523 and 68536?

Greatest common factor (GCF) of 68523 and 68536 is 13.

GCF(68523,68536) = 13

We will now calculate the prime factors of 68523 and 68536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68523 and 68536.

How to find the GCF of 68523 and 68536?

We will first find the prime factorization of 68523 and 68536. After we will calculate the factors of 68523 and 68536 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 68536

Prime factors of 68536 are 2, 13, 659. Prime factorization of 68536 in exponential form is:

68536 = 2³ × 13¹ × 659¹

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 68536

List of positive integer factors of 68536 that divides 68523 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 659, 1318, 2636, 5272, 8567, 17134, 34268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68523 and 68536. The biggest common factor number is the GCF number.
So the greatest common factor 68523 and 68536 is 13.

Also check out the Least Common Multiple of 68523 and 68536