What is the Greatest Common Factor of 31499 and 31512?

Greatest common factor (GCF) of 31499 and 31512 is 13.

GCF(31499,31512) = 13

We will now calculate the prime factors of 31499 and 31512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31499 and 31512.

How to find the GCF of 31499 and 31512?

We will first find the prime factorization of 31499 and 31512. After we will calculate the factors of 31499 and 31512 and find the biggest common factor number .

Step-1: Prime Factorization of 31499

Prime factors of 31499 are 13, 2423. Prime factorization of 31499 in exponential form is:

31499 = 13¹ × 2423¹

Step-2: Prime Factorization of 31512

Prime factors of 31512 are 2, 3, 13, 101. Prime factorization of 31512 in exponential form is:

31512 = 2³ × 3¹ × 13¹ × 101¹

Step-3: Factors of 31499

List of positive integer factors of 31499 that divides 31499 without a remainder.

1, 13, 2423

Step-4: Factors of 31512

List of positive integer factors of 31512 that divides 31499 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 101, 104, 156, 202, 303, 312, 404, 606, 808, 1212, 1313, 2424, 2626, 3939, 5252, 7878, 10504, 15756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31499 and 31512. The biggest common factor number is the GCF number.
So the greatest common factor 31499 and 31512 is 13.

Also check out the Least Common Multiple of 31499 and 31512