What is the Greatest Common Factor of 11053 and 11060?

Greatest common factor (GCF) of 11053 and 11060 is 7.

GCF(11053,11060) = 7

We will now calculate the prime factors of 11053 and 11060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11053 and 11060.

How to find the GCF of 11053 and 11060?

We will first find the prime factorization of 11053 and 11060. After we will calculate the factors of 11053 and 11060 and find the biggest common factor number .

Step-1: Prime Factorization of 11053

Prime factors of 11053 are 7, 1579. Prime factorization of 11053 in exponential form is:

11053 = 7¹ × 1579¹

Step-2: Prime Factorization of 11060

Prime factors of 11060 are 2, 5, 7, 79. Prime factorization of 11060 in exponential form is:

11060 = 2² × 5¹ × 7¹ × 79¹

Step-3: Factors of 11053

List of positive integer factors of 11053 that divides 11053 without a remainder.

1, 7, 1579

Step-4: Factors of 11060

List of positive integer factors of 11060 that divides 11053 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 79, 140, 158, 316, 395, 553, 790, 1106, 1580, 2212, 2765, 5530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11053 and 11060. The biggest common factor number is the GCF number.
So the greatest common factor 11053 and 11060 is 7.

Also check out the Least Common Multiple of 11053 and 11060