What is the Greatest Common Factor of 31320 and 31330?

Greatest common factor (GCF) of 31320 and 31330 is 10.

GCF(31320,31330) = 10

We will now calculate the prime factors of 31320 and 31330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31320 and 31330.

How to find the GCF of 31320 and 31330?

We will first find the prime factorization of 31320 and 31330. After we will calculate the factors of 31320 and 31330 and find the biggest common factor number .

Step-1: Prime Factorization of 31320

Prime factors of 31320 are 2, 3, 5, 29. Prime factorization of 31320 in exponential form is:

31320 = 2³ × 3³ × 5¹ × 29¹

Step-2: Prime Factorization of 31330

Prime factors of 31330 are 2, 5, 13, 241. Prime factorization of 31330 in exponential form is:

31330 = 2¹ × 5¹ × 13¹ × 241¹

Step-3: Factors of 31320

List of positive integer factors of 31320 that divides 31320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 29, 30, 36, 40, 45, 54, 58, 60, 72, 87, 90, 108, 116, 120, 135, 145, 174, 180, 216, 232, 261, 270, 290, 348, 360, 435, 522, 540, 580, 696, 783, 870, 1044, 1080, 1160, 1305, 1566, 1740, 2088, 2610, 3132, 3480, 3915, 5220, 6264, 7830, 10440, 15660

Step-4: Factors of 31330

List of positive integer factors of 31330 that divides 31320 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 241, 482, 1205, 2410, 3133, 6266, 15665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31320 and 31330. The biggest common factor number is the GCF number.
So the greatest common factor 31320 and 31330 is 10.

Also check out the Least Common Multiple of 31320 and 31330