What is the Greatest Common Factor of 68493 and 68509?

Greatest common factor (GCF) of 68493 and 68509 is 1.

GCF(68493,68509) = 1

We will now calculate the prime factors of 68493 and 68509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68493 and 68509.

How to find the GCF of 68493 and 68509?

We will first find the prime factorization of 68493 and 68509. After we will calculate the factors of 68493 and 68509 and find the biggest common factor number .

Step-1: Prime Factorization of 68493

Prime factors of 68493 are 3, 17, 79. Prime factorization of 68493 in exponential form is:

68493 = 3¹ × 17² × 79¹

Step-2: Prime Factorization of 68509

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

68509 = 7¹ × 9787¹

Step-3: Factors of 68493

List of positive integer factors of 68493 that divides 68493 without a remainder.

1, 3, 17, 51, 79, 237, 289, 867, 1343, 4029, 22831

Step-4: Factors of 68509

List of positive integer factors of 68509 that divides 68493 without a remainder.

1, 7, 9787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68493 and 68509. The biggest common factor number is the GCF number.
So the greatest common factor 68493 and 68509 is 1.

Also check out the Least Common Multiple of 68493 and 68509