What is the Greatest Common Factor of 20040 and 20055?

Greatest common factor (GCF) of 20040 and 20055 is 15.

GCF(20040,20055) = 15

We will now calculate the prime factors of 20040 and 20055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20040 and 20055.

How to find the GCF of 20040 and 20055?

We will first find the prime factorization of 20040 and 20055. After we will calculate the factors of 20040 and 20055 and find the biggest common factor number .

Step-1: Prime Factorization of 20040

Prime factors of 20040 are 2, 3, 5, 167. Prime factorization of 20040 in exponential form is:

20040 = 2³ × 3¹ × 5¹ × 167¹

Step-2: Prime Factorization of 20055

Prime factors of 20055 are 3, 5, 7, 191. Prime factorization of 20055 in exponential form is:

20055 = 3¹ × 5¹ × 7¹ × 191¹

Step-3: Factors of 20040

List of positive integer factors of 20040 that divides 20040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 167, 334, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 3340, 4008, 5010, 6680, 10020

Step-4: Factors of 20055

List of positive integer factors of 20055 that divides 20040 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 191, 573, 955, 1337, 2865, 4011, 6685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20040 and 20055. The biggest common factor number is the GCF number.
So the greatest common factor 20040 and 20055 is 15.

Also check out the Least Common Multiple of 20040 and 20055