What is the Greatest Common Factor of 33025 and 33040?

Greatest common factor (GCF) of 33025 and 33040 is 5.

GCF(33025,33040) = 5

We will now calculate the prime factors of 33025 and 33040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33025 and 33040.

How to find the GCF of 33025 and 33040?

We will first find the prime factorization of 33025 and 33040. After we will calculate the factors of 33025 and 33040 and find the biggest common factor number .

Step-1: Prime Factorization of 33025

Prime factors of 33025 are 5, 1321. Prime factorization of 33025 in exponential form is:

33025 = 5² × 1321¹

Step-2: Prime Factorization of 33040

Prime factors of 33040 are 2, 5, 7, 59. Prime factorization of 33040 in exponential form is:

33040 = 2⁴ × 5¹ × 7¹ × 59¹

Step-3: Factors of 33025

List of positive integer factors of 33025 that divides 33025 without a remainder.

1, 5, 25, 1321, 6605

Step-4: Factors of 33040

List of positive integer factors of 33040 that divides 33025 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 59, 70, 80, 112, 118, 140, 236, 280, 295, 413, 472, 560, 590, 826, 944, 1180, 1652, 2065, 2360, 3304, 4130, 4720, 6608, 8260, 16520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33025 and 33040. The biggest common factor number is the GCF number.
So the greatest common factor 33025 and 33040 is 5.

Also check out the Least Common Multiple of 33025 and 33040