What is the Greatest Common Factor of 68509 and 68523?

Greatest common factor (GCF) of 68509 and 68523 is 7.

GCF(68509,68523) = 7

We will now calculate the prime factors of 68509 and 68523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68509 and 68523.

How to find the GCF of 68509 and 68523?

We will first find the prime factorization of 68509 and 68523. After we will calculate the factors of 68509 and 68523 and find the biggest common factor number .

Step-1: Prime Factorization of 68509

Prime factors of 68509 are 7, 9787. Prime factorization of 68509 in exponential form is:

68509 = 7¹ × 9787¹

Step-2: 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-3: Factors of 68509

List of positive integer factors of 68509 that divides 68509 without a remainder.

1, 7, 9787

Step-4: Factors of 68523

List of positive integer factors of 68523 that divides 68509 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68509 and 68523. The biggest common factor number is the GCF number.
So the greatest common factor 68509 and 68523 is 7.

Also check out the Least Common Multiple of 68509 and 68523