What is the Greatest Common Factor of 28042 and 28058?

Greatest common factor (GCF) of 28042 and 28058 is 2.

GCF(28042,28058) = 2

We will now calculate the prime factors of 28042 and 28058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28042 and 28058.

How to find the GCF of 28042 and 28058?

We will first find the prime factorization of 28042 and 28058. After we will calculate the factors of 28042 and 28058 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 28058

Prime factors of 28058 are 2, 14029. Prime factorization of 28058 in exponential form is:

28058 = 2¹ × 14029¹

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 28058

List of positive integer factors of 28058 that divides 28042 without a remainder.

1, 2, 14029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28042 and 28058. The biggest common factor number is the GCF number.
So the greatest common factor 28042 and 28058 is 2.

Also check out the Least Common Multiple of 28042 and 28058