What is the Greatest Common Factor of 33460 and 33474?

Greatest common factor (GCF) of 33460 and 33474 is 14.

GCF(33460,33474) = 14

We will now calculate the prime factors of 33460 and 33474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33460 and 33474.

How to find the GCF of 33460 and 33474?

We will first find the prime factorization of 33460 and 33474. After we will calculate the factors of 33460 and 33474 and find the biggest common factor number .

Step-1: Prime Factorization of 33460

Prime factors of 33460 are 2, 5, 7, 239. Prime factorization of 33460 in exponential form is:

33460 = 2² × 5¹ × 7¹ × 239¹

Step-2: Prime Factorization of 33474

Prime factors of 33474 are 2, 3, 7, 797. Prime factorization of 33474 in exponential form is:

33474 = 2¹ × 3¹ × 7¹ × 797¹

Step-3: Factors of 33460

List of positive integer factors of 33460 that divides 33460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 239, 478, 956, 1195, 1673, 2390, 3346, 4780, 6692, 8365, 16730

Step-4: Factors of 33474

List of positive integer factors of 33474 that divides 33460 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 797, 1594, 2391, 4782, 5579, 11158, 16737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33460 and 33474. The biggest common factor number is the GCF number.
So the greatest common factor 33460 and 33474 is 14.

Also check out the Least Common Multiple of 33460 and 33474