What is the Greatest Common Factor of 68280 and 68285?

Greatest common factor (GCF) of 68280 and 68285 is 5.

GCF(68280,68285) = 5

We will now calculate the prime factors of 68280 and 68285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68280 and 68285.

How to find the GCF of 68280 and 68285?

We will first find the prime factorization of 68280 and 68285. After we will calculate the factors of 68280 and 68285 and find the biggest common factor number .

Step-1: Prime Factorization of 68280

Prime factors of 68280 are 2, 3, 5, 569. Prime factorization of 68280 in exponential form is:

68280 = 2³ × 3¹ × 5¹ × 569¹

Step-2: Prime Factorization of 68285

Prime factors of 68285 are 5, 7, 1951. Prime factorization of 68285 in exponential form is:

68285 = 5¹ × 7¹ × 1951¹

Step-3: Factors of 68280

List of positive integer factors of 68280 that divides 68280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 569, 1138, 1707, 2276, 2845, 3414, 4552, 5690, 6828, 8535, 11380, 13656, 17070, 22760, 34140

Step-4: Factors of 68285

List of positive integer factors of 68285 that divides 68280 without a remainder.

1, 5, 7, 35, 1951, 9755, 13657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68280 and 68285. The biggest common factor number is the GCF number.
So the greatest common factor 68280 and 68285 is 5.

Also check out the Least Common Multiple of 68280 and 68285