What is the Greatest Common Factor of 31533 and 31548?

Greatest common factor (GCF) of 31533 and 31548 is 3.

GCF(31533,31548) = 3

We will now calculate the prime factors of 31533 and 31548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31533 and 31548.

How to find the GCF of 31533 and 31548?

We will first find the prime factorization of 31533 and 31548. After we will calculate the factors of 31533 and 31548 and find the biggest common factor number .

Step-1: Prime Factorization of 31533

Prime factors of 31533 are 3, 23, 457. Prime factorization of 31533 in exponential form is:

31533 = 3¹ × 23¹ × 457¹

Step-2: Prime Factorization of 31548

Prime factors of 31548 are 2, 3, 11, 239. Prime factorization of 31548 in exponential form is:

31548 = 2² × 3¹ × 11¹ × 239¹

Step-3: Factors of 31533

List of positive integer factors of 31533 that divides 31533 without a remainder.

1, 3, 23, 69, 457, 1371, 10511

Step-4: Factors of 31548

List of positive integer factors of 31548 that divides 31533 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 239, 478, 717, 956, 1434, 2629, 2868, 5258, 7887, 10516, 15774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31533 and 31548. The biggest common factor number is the GCF number.
So the greatest common factor 31533 and 31548 is 3.

Also check out the Least Common Multiple of 31533 and 31548