What is the Greatest Common Factor of 68565 and 68579?

Greatest common factor (GCF) of 68565 and 68579 is 7.

GCF(68565,68579) = 7

We will now calculate the prime factors of 68565 and 68579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68565 and 68579.

How to find the GCF of 68565 and 68579?

We will first find the prime factorization of 68565 and 68579. After we will calculate the factors of 68565 and 68579 and find the biggest common factor number .

Step-1: Prime Factorization of 68565

Prime factors of 68565 are 3, 5, 7, 653. Prime factorization of 68565 in exponential form is:

68565 = 3¹ × 5¹ × 7¹ × 653¹

Step-2: Prime Factorization of 68579

Prime factors of 68579 are 7, 97, 101. Prime factorization of 68579 in exponential form is:

68579 = 7¹ × 97¹ × 101¹

Step-3: Factors of 68565

List of positive integer factors of 68565 that divides 68565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 653, 1959, 3265, 4571, 9795, 13713, 22855

Step-4: Factors of 68579

List of positive integer factors of 68579 that divides 68565 without a remainder.

1, 7, 97, 101, 679, 707, 9797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68565 and 68579. The biggest common factor number is the GCF number.
So the greatest common factor 68565 and 68579 is 7.

Also check out the Least Common Multiple of 68565 and 68579