What is the Greatest Common Factor of 1053 and 1066?

Greatest common factor (GCF) of 1053 and 1066 is 13.

GCF(1053,1066) = 13

We will now calculate the prime factors of 1053 and 1066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1053 and 1066.

How to find the GCF of 1053 and 1066?

We will first find the prime factorization of 1053 and 1066. After we will calculate the factors of 1053 and 1066 and find the biggest common factor number .

Step-1: Prime Factorization of 1053

Prime factors of 1053 are 3, 13. Prime factorization of 1053 in exponential form is:

1053 = 3⁴ × 13¹

Step-2: Prime Factorization of 1066

Prime factors of 1066 are 2, 13, 41. Prime factorization of 1066 in exponential form is:

1066 = 2¹ × 13¹ × 41¹

Step-3: Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 351

Step-4: Factors of 1066

List of positive integer factors of 1066 that divides 1053 without a remainder.

1, 2, 13, 26, 41, 82, 533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1053 and 1066. The biggest common factor number is the GCF number.
So the greatest common factor 1053 and 1066 is 13.

Also check out the Least Common Multiple of 1053 and 1066