What is the Greatest Common Factor of 33462 and 33475?

Greatest common factor (GCF) of 33462 and 33475 is 13.

GCF(33462,33475) = 13

We will now calculate the prime factors of 33462 and 33475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33462 and 33475.

How to find the GCF of 33462 and 33475?

We will first find the prime factorization of 33462 and 33475. After we will calculate the factors of 33462 and 33475 and find the biggest common factor number .

Step-1: Prime Factorization of 33462

Prime factors of 33462 are 2, 3, 11, 13. Prime factorization of 33462 in exponential form is:

33462 = 2¹ × 3² × 11¹ × 13²

Step-2: Prime Factorization of 33475

Prime factors of 33475 are 5, 13, 103. Prime factorization of 33475 in exponential form is:

33475 = 5² × 13¹ × 103¹

Step-3: Factors of 33462

List of positive integer factors of 33462 that divides 33462 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 169, 198, 234, 286, 338, 429, 507, 858, 1014, 1287, 1521, 1859, 2574, 3042, 3718, 5577, 11154, 16731

Step-4: Factors of 33475

List of positive integer factors of 33475 that divides 33462 without a remainder.

1, 5, 13, 25, 65, 103, 325, 515, 1339, 2575, 6695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33462 and 33475. The biggest common factor number is the GCF number.
So the greatest common factor 33462 and 33475 is 13.

Also check out the Least Common Multiple of 33462 and 33475