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What is the Greatest Common Factor of 11020 and 11040?

Greatest common factor (GCF) of 11020 and 11040 is 20.

GCF(11020,11040) = 20

We will now calculate the prime factors of 11020 and 11040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11020 and 11040.

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How to find the GCF of 11020 and 11040?

We will first find the prime factorization of 11020 and 11040. After we will calculate the factors of 11020 and 11040 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 11040

Prime factors of 11040 are 2, 3, 5, 23. Prime factorization of 11040 in exponential form is:

11040 = 25 × 31 × 51 × 231

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 11040

List of positive integer factors of 11040 that divides 11020 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11020 and 11040. The biggest common factor number is the GCF number.
So the greatest common factor 11020 and 11040 is 20.

Also check out the Least Common Multiple of 11020 and 11040