What is the Greatest Common Factor of 68280 and 68287?

Greatest common factor (GCF) of 68280 and 68287 is 1.

GCF(68280,68287) = 1

We will now calculate the prime factors of 68280 and 68287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68280 and 68287.

How to find the GCF of 68280 and 68287?

We will first find the prime factorization of 68280 and 68287. After we will calculate the factors of 68280 and 68287 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 68287

Prime factors of 68287 are 23, 2969. Prime factorization of 68287 in exponential form is:

68287 = 23¹ × 2969¹

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 68287

List of positive integer factors of 68287 that divides 68280 without a remainder.

1, 23, 2969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68280 and 68287. The biggest common factor number is the GCF number.
So the greatest common factor 68280 and 68287 is 1.

Also check out the Least Common Multiple of 68280 and 68287