What is the Greatest Common Factor of 7047 and 7053?

Greatest common factor (GCF) of 7047 and 7053 is 3.

GCF(7047,7053) = 3

We will now calculate the prime factors of 7047 and 7053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7047 and 7053.

How to find the GCF of 7047 and 7053?

We will first find the prime factorization of 7047 and 7053. After we will calculate the factors of 7047 and 7053 and find the biggest common factor number .

Step-1: Prime Factorization of 7047

Prime factors of 7047 are 3, 29. Prime factorization of 7047 in exponential form is:

7047 = 3⁵ × 29¹

Step-2: Prime Factorization of 7053

Prime factors of 7053 are 3, 2351. Prime factorization of 7053 in exponential form is:

7053 = 3¹ × 2351¹

Step-3: Factors of 7047

List of positive integer factors of 7047 that divides 7047 without a remainder.

1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349

Step-4: Factors of 7053

List of positive integer factors of 7053 that divides 7047 without a remainder.

1, 3, 2351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7047 and 7053. The biggest common factor number is the GCF number.
So the greatest common factor 7047 and 7053 is 3.

Also check out the Least Common Multiple of 7047 and 7053