What is the Greatest Common Factor of 31280 and 31284?

Greatest common factor (GCF) of 31280 and 31284 is 4.

GCF(31280,31284) = 4

We will now calculate the prime factors of 31280 and 31284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31280 and 31284.

How to find the GCF of 31280 and 31284?

We will first find the prime factorization of 31280 and 31284. After we will calculate the factors of 31280 and 31284 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 31284

Prime factors of 31284 are 2, 3, 11, 79. Prime factorization of 31284 in exponential form is:

31284 = 2² × 3² × 11¹ × 79¹

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 31284

List of positive integer factors of 31284 that divides 31280 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 79, 99, 132, 158, 198, 237, 316, 396, 474, 711, 869, 948, 1422, 1738, 2607, 2844, 3476, 5214, 7821, 10428, 15642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31280 and 31284. The biggest common factor number is the GCF number.
So the greatest common factor 31280 and 31284 is 4.

Also check out the Least Common Multiple of 31280 and 31284