What is the Greatest Common Factor of 28270 and 28285?

Greatest common factor (GCF) of 28270 and 28285 is 5.

GCF(28270,28285) = 5

We will now calculate the prime factors of 28270 and 28285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28270 and 28285.

How to find the GCF of 28270 and 28285?

We will first find the prime factorization of 28270 and 28285. After we will calculate the factors of 28270 and 28285 and find the biggest common factor number .

Step-1: Prime Factorization of 28270

Prime factors of 28270 are 2, 5, 11, 257. Prime factorization of 28270 in exponential form is:

28270 = 2¹ × 5¹ × 11¹ × 257¹

Step-2: Prime Factorization of 28285

Prime factors of 28285 are 5, 5657. Prime factorization of 28285 in exponential form is:

28285 = 5¹ × 5657¹

Step-3: Factors of 28270

List of positive integer factors of 28270 that divides 28270 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 257, 514, 1285, 2570, 2827, 5654, 14135

Step-4: Factors of 28285

List of positive integer factors of 28285 that divides 28270 without a remainder.

1, 5, 5657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28270 and 28285. The biggest common factor number is the GCF number.
So the greatest common factor 28270 and 28285 is 5.

Also check out the Least Common Multiple of 28270 and 28285