What is the Greatest Common Factor of 31280 and 31285?

Greatest common factor (GCF) of 31280 and 31285 is 5.

GCF(31280,31285) = 5

We will now calculate the prime factors of 31280 and 31285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31280 and 31285.

How to find the GCF of 31280 and 31285?

We will first find the prime factorization of 31280 and 31285. After we will calculate the factors of 31280 and 31285 and find the biggest common factor number .

Step-1: Prime Factorization of 31280

Prime factors of 31280 are 2, 5, 17, 23. Prime factorization of 31280 in exponential form is:

31280 = 2⁴ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 31285

Prime factors of 31285 are 5, 6257. Prime factorization of 31285 in exponential form is:

31285 = 5¹ × 6257¹

Step-3: Factors of 31280

List of positive integer factors of 31280 that divides 31280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 23, 34, 40, 46, 68, 80, 85, 92, 115, 136, 170, 184, 230, 272, 340, 368, 391, 460, 680, 782, 920, 1360, 1564, 1840, 1955, 3128, 3910, 6256, 7820, 15640

Step-4: Factors of 31285

List of positive integer factors of 31285 that divides 31280 without a remainder.

1, 5, 6257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31280 and 31285. The biggest common factor number is the GCF number.
So the greatest common factor 31280 and 31285 is 5.

Also check out the Least Common Multiple of 31280 and 31285