What is the Greatest Common Factor of 68523 and 68541?

Greatest common factor (GCF) of 68523 and 68541 is 3.

GCF(68523,68541) = 3

We will now calculate the prime factors of 68523 and 68541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68523 and 68541.

How to find the GCF of 68523 and 68541?

We will first find the prime factorization of 68523 and 68541. After we will calculate the factors of 68523 and 68541 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 68541

Prime factors of 68541 are 3, 11, 31, 67. Prime factorization of 68541 in exponential form is:

68541 = 3¹ × 11¹ × 31¹ × 67¹

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 68541

List of positive integer factors of 68541 that divides 68523 without a remainder.

1, 3, 11, 31, 33, 67, 93, 201, 341, 737, 1023, 2077, 2211, 6231, 22847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68523 and 68541. The biggest common factor number is the GCF number.
So the greatest common factor 68523 and 68541 is 3.

Also check out the Least Common Multiple of 68523 and 68541