What is the Greatest Common Factor of 17292 and 17303?

Greatest common factor (GCF) of 17292 and 17303 is 11.

GCF(17292,17303) = 11

We will now calculate the prime factors of 17292 and 17303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17292 and 17303.

How to find the GCF of 17292 and 17303?

We will first find the prime factorization of 17292 and 17303. After we will calculate the factors of 17292 and 17303 and find the biggest common factor number .

Step-1: Prime Factorization of 17292

Prime factors of 17292 are 2, 3, 11, 131. Prime factorization of 17292 in exponential form is:

17292 = 2² × 3¹ × 11¹ × 131¹

Step-2: Prime Factorization of 17303

Prime factors of 17303 are 11, 13. Prime factorization of 17303 in exponential form is:

17303 = 11³ × 13¹

Step-3: Factors of 17292

List of positive integer factors of 17292 that divides 17292 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646

Step-4: Factors of 17303

List of positive integer factors of 17303 that divides 17292 without a remainder.

1, 11, 13, 121, 143, 1331, 1573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17292 and 17303. The biggest common factor number is the GCF number.
So the greatest common factor 17292 and 17303 is 11.

Also check out the Least Common Multiple of 17292 and 17303