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What is the Greatest Common Factor of 27280 and 27291?

Greatest common factor (GCF) of 27280 and 27291 is 11.

GCF(27280,27291) = 11

We will now calculate the prime factors of 27280 and 27291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27280 and 27291.

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How to find the GCF of 27280 and 27291?

We will first find the prime factorization of 27280 and 27291. After we will calculate the factors of 27280 and 27291 and find the biggest common factor number .

Step-1: Prime Factorization of 27280

Prime factors of 27280 are 2, 5, 11, 31. Prime factorization of 27280 in exponential form is:

27280 = 24 × 51 × 111 × 311

Step-2: Prime Factorization of 27291

Prime factors of 27291 are 3, 11, 827. Prime factorization of 27291 in exponential form is:

27291 = 31 × 111 × 8271

Step-3: Factors of 27280

List of positive integer factors of 27280 that divides 27280 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 40, 44, 55, 62, 80, 88, 110, 124, 155, 176, 220, 248, 310, 341, 440, 496, 620, 682, 880, 1240, 1364, 1705, 2480, 2728, 3410, 5456, 6820, 13640

Step-4: Factors of 27291

List of positive integer factors of 27291 that divides 27280 without a remainder.

1, 3, 11, 33, 827, 2481, 9097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27280 and 27291. The biggest common factor number is the GCF number.
So the greatest common factor 27280 and 27291 is 11.

Also check out the Least Common Multiple of 27280 and 27291