What is the Greatest Common Factor of 1040 and 1053?

Greatest common factor (GCF) of 1040 and 1053 is 13.

GCF(1040,1053) = 13

We will now calculate the prime factors of 1040 and 1053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1040 and 1053.

How to find the GCF of 1040 and 1053?

We will first find the prime factorization of 1040 and 1053. After we will calculate the factors of 1040 and 1053 and find the biggest common factor number .

Step-1: Prime Factorization of 1040

Prime factors of 1040 are 2, 5, 13. Prime factorization of 1040 in exponential form is:

1040 = 2⁴ × 5¹ × 13¹

Step-2: Prime Factorization of 1053

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

1053 = 3⁴ × 13¹

Step-3: Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520

Step-4: Factors of 1053

List of positive integer factors of 1053 that divides 1040 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1040 and 1053. The biggest common factor number is the GCF number.
So the greatest common factor 1040 and 1053 is 13.

Also check out the Least Common Multiple of 1040 and 1053