What is the Greatest Common Factor of 11046 and 11053?

Greatest common factor (GCF) of 11046 and 11053 is 7.

GCF(11046,11053) = 7

We will now calculate the prime factors of 11046 and 11053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11046 and 11053.

How to find the GCF of 11046 and 11053?

We will first find the prime factorization of 11046 and 11053. After we will calculate the factors of 11046 and 11053 and find the biggest common factor number .

Step-1: Prime Factorization of 11046

Prime factors of 11046 are 2, 3, 7, 263. Prime factorization of 11046 in exponential form is:

11046 = 2¹ × 3¹ × 7¹ × 263¹

Step-2: Prime Factorization of 11053

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

11053 = 7¹ × 1579¹

Step-3: Factors of 11046

List of positive integer factors of 11046 that divides 11046 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 263, 526, 789, 1578, 1841, 3682, 5523

Step-4: Factors of 11053

List of positive integer factors of 11053 that divides 11046 without a remainder.

1, 7, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11046 and 11053. The biggest common factor number is the GCF number.
So the greatest common factor 11046 and 11053 is 7.

Also check out the Least Common Multiple of 11046 and 11053