What is the Greatest Common Factor of 11007 and 11020?

Greatest common factor (GCF) of 11007 and 11020 is 1.

GCF(11007,11020) = 1

We will now calculate the prime factors of 11007 and 11020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11007 and 11020.

How to find the GCF of 11007 and 11020?

We will first find the prime factorization of 11007 and 11020. After we will calculate the factors of 11007 and 11020 and find the biggest common factor number .

Step-1: Prime Factorization of 11007

Prime factors of 11007 are 3, 1223. Prime factorization of 11007 in exponential form is:

11007 = 3² × 1223¹

Step-2: Prime Factorization of 11020

Prime factors of 11020 are 2, 5, 19, 29. Prime factorization of 11020 in exponential form is:

11020 = 2² × 5¹ × 19¹ × 29¹

Step-3: Factors of 11007

List of positive integer factors of 11007 that divides 11007 without a remainder.

1, 3, 9, 1223, 3669

Step-4: Factors of 11020

List of positive integer factors of 11020 that divides 11007 without a remainder.

1, 2, 4, 5, 10, 19, 20, 29, 38, 58, 76, 95, 116, 145, 190, 290, 380, 551, 580, 1102, 2204, 2755, 5510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11007 and 11020. The biggest common factor number is the GCF number.
So the greatest common factor 11007 and 11020 is 1.

Also check out the Least Common Multiple of 11007 and 11020