What is the Greatest Common Factor of 31449 and 31464?

Greatest common factor (GCF) of 31449 and 31464 is 3.

GCF(31449,31464) = 3

We will now calculate the prime factors of 31449 and 31464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31449 and 31464.

How to find the GCF of 31449 and 31464?

We will first find the prime factorization of 31449 and 31464. After we will calculate the factors of 31449 and 31464 and find the biggest common factor number .

Step-1: Prime Factorization of 31449

Prime factors of 31449 are 3, 11, 953. Prime factorization of 31449 in exponential form is:

31449 = 3¹ × 11¹ × 953¹

Step-2: Prime Factorization of 31464

Prime factors of 31464 are 2, 3, 19, 23. Prime factorization of 31464 in exponential form is:

31464 = 2³ × 3² × 19¹ × 23¹

Step-3: Factors of 31449

List of positive integer factors of 31449 that divides 31449 without a remainder.

1, 3, 11, 33, 953, 2859, 10483

Step-4: Factors of 31464

List of positive integer factors of 31464 that divides 31449 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57, 69, 72, 76, 92, 114, 138, 152, 171, 184, 207, 228, 276, 342, 414, 437, 456, 552, 684, 828, 874, 1311, 1368, 1656, 1748, 2622, 3496, 3933, 5244, 7866, 10488, 15732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31449 and 31464. The biggest common factor number is the GCF number.
So the greatest common factor 31449 and 31464 is 3.

Also check out the Least Common Multiple of 31449 and 31464