What is the Greatest Common Factor of 11020 and 11028?

Greatest common factor (GCF) of 11020 and 11028 is 4.

GCF(11020,11028) = 4

We will now calculate the prime factors of 11020 and 11028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11020 and 11028.

How to find the GCF of 11020 and 11028?

We will first find the prime factorization of 11020 and 11028. After we will calculate the factors of 11020 and 11028 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11028

Prime factors of 11028 are 2, 3, 919. Prime factorization of 11028 in exponential form is:

11028 = 2² × 3¹ × 919¹

Step-3: Factors of 11020

List of positive integer factors of 11020 that divides 11020 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

Step-4: Factors of 11028

List of positive integer factors of 11028 that divides 11020 without a remainder.

1, 2, 3, 4, 6, 12, 919, 1838, 2757, 3676, 5514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11020 and 11028. The biggest common factor number is the GCF number.
So the greatest common factor 11020 and 11028 is 4.

Also check out the Least Common Multiple of 11020 and 11028