What is the Greatest Common Factor of 20025 and 20034?

Greatest common factor (GCF) of 20025 and 20034 is 9.

GCF(20025,20034) = 9

We will now calculate the prime factors of 20025 and 20034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20025 and 20034.

How to find the GCF of 20025 and 20034?

We will first find the prime factorization of 20025 and 20034. After we will calculate the factors of 20025 and 20034 and find the biggest common factor number .

Step-1: Prime Factorization of 20025

Prime factors of 20025 are 3, 5, 89. Prime factorization of 20025 in exponential form is:

20025 = 3² × 5² × 89¹

Step-2: Prime Factorization of 20034

Prime factors of 20034 are 2, 3, 7, 53. Prime factorization of 20034 in exponential form is:

20034 = 2¹ × 3³ × 7¹ × 53¹

Step-3: Factors of 20025

List of positive integer factors of 20025 that divides 20025 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 89, 225, 267, 445, 801, 1335, 2225, 4005, 6675

Step-4: Factors of 20034

List of positive integer factors of 20034 that divides 20025 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 53, 54, 63, 106, 126, 159, 189, 318, 371, 378, 477, 742, 954, 1113, 1431, 2226, 2862, 3339, 6678, 10017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20025 and 20034. The biggest common factor number is the GCF number.
So the greatest common factor 20025 and 20034 is 9.

Also check out the Least Common Multiple of 20025 and 20034