What is the Greatest Common Factor of 17262 and 17272?

Greatest common factor (GCF) of 17262 and 17272 is 2.

GCF(17262,17272) = 2

We will now calculate the prime factors of 17262 and 17272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17262 and 17272.

How to find the GCF of 17262 and 17272?

We will first find the prime factorization of 17262 and 17272. After we will calculate the factors of 17262 and 17272 and find the biggest common factor number .

Step-1: Prime Factorization of 17262

Prime factors of 17262 are 2, 3, 7, 137. Prime factorization of 17262 in exponential form is:

17262 = 2¹ × 3² × 7¹ × 137¹

Step-2: Prime Factorization of 17272

Prime factors of 17272 are 2, 17, 127. Prime factorization of 17272 in exponential form is:

17272 = 2³ × 17¹ × 127¹

Step-3: Factors of 17262

List of positive integer factors of 17262 that divides 17262 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 137, 274, 411, 822, 959, 1233, 1918, 2466, 2877, 5754, 8631

Step-4: Factors of 17272

List of positive integer factors of 17272 that divides 17262 without a remainder.

1, 2, 4, 8, 17, 34, 68, 127, 136, 254, 508, 1016, 2159, 4318, 8636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17262 and 17272. The biggest common factor number is the GCF number.
So the greatest common factor 17262 and 17272 is 2.

Also check out the Least Common Multiple of 17262 and 17272