What is the Greatest Common Factor of 4072 and 4084?

Greatest common factor (GCF) of 4072 and 4084 is 4.

GCF(4072,4084) = 4

We will now calculate the prime factors of 4072 and 4084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4072 and 4084.

How to find the GCF of 4072 and 4084?

We will first find the prime factorization of 4072 and 4084. After we will calculate the factors of 4072 and 4084 and find the biggest common factor number .

Step-1: Prime Factorization of 4072

Prime factors of 4072 are 2, 509. Prime factorization of 4072 in exponential form is:

4072 = 2³ × 509¹

Step-2: Prime Factorization of 4084

Prime factors of 4084 are 2, 1021. Prime factorization of 4084 in exponential form is:

4084 = 2² × 1021¹

Step-3: Factors of 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1, 2, 4, 8, 509, 1018, 2036

Step-4: Factors of 4084

List of positive integer factors of 4084 that divides 4072 without a remainder.

1, 2, 4, 1021, 2042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4072 and 4084. The biggest common factor number is the GCF number.
So the greatest common factor 4072 and 4084 is 4.

Also check out the Least Common Multiple of 4072 and 4084