What is the Greatest Common Factor of 28042 and 28060?

Greatest common factor (GCF) of 28042 and 28060 is 2.

GCF(28042,28060) = 2

We will now calculate the prime factors of 28042 and 28060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28042 and 28060.

How to find the GCF of 28042 and 28060?

We will first find the prime factorization of 28042 and 28060. After we will calculate the factors of 28042 and 28060 and find the biggest common factor number .

Step-1: Prime Factorization of 28042

Prime factors of 28042 are 2, 7, 2003. Prime factorization of 28042 in exponential form is:

28042 = 2¹ × 7¹ × 2003¹

Step-2: Prime Factorization of 28060

Prime factors of 28060 are 2, 5, 23, 61. Prime factorization of 28060 in exponential form is:

28060 = 2² × 5¹ × 23¹ × 61¹

Step-3: Factors of 28042

List of positive integer factors of 28042 that divides 28042 without a remainder.

1, 2, 7, 14, 2003, 4006, 14021

Step-4: Factors of 28060

List of positive integer factors of 28060 that divides 28042 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 61, 92, 115, 122, 230, 244, 305, 460, 610, 1220, 1403, 2806, 5612, 7015, 14030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28042 and 28060. The biggest common factor number is the GCF number.
So the greatest common factor 28042 and 28060 is 2.

Also check out the Least Common Multiple of 28042 and 28060