What is the Greatest Common Factor of 280 and 287?

Greatest common factor (GCF) of 280 and 287 is 7.

GCF(280,287) = 7

We will now calculate the prime factors of 280 and 287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 280 and 287.

How to find the GCF of 280 and 287?

We will first find the prime factorization of 280 and 287. After we will calculate the factors of 280 and 287 and find the biggest common factor number .

Step-1: Prime Factorization of 280

Prime factors of 280 are 2, 5, 7. Prime factorization of 280 in exponential form is:

280 = 2³ × 5¹ × 7¹

Step-2: Prime Factorization of 287

Prime factors of 287 are 7, 41. Prime factorization of 287 in exponential form is:

287 = 7¹ × 41¹

Step-3: Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140

Step-4: Factors of 287

List of positive integer factors of 287 that divides 280 without a remainder.

1, 7, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 280 and 287. The biggest common factor number is the GCF number.
So the greatest common factor 280 and 287 is 7.

Also check out the Least Common Multiple of 280 and 287