What is the Greatest Common Factor of 71247 and 71264?

Greatest common factor (GCF) of 71247 and 71264 is 17.

GCF(71247,71264) = 17

We will now calculate the prime factors of 71247 and 71264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71247 and 71264.

How to find the GCF of 71247 and 71264?

We will first find the prime factorization of 71247 and 71264. After we will calculate the factors of 71247 and 71264 and find the biggest common factor number .

Step-1: Prime Factorization of 71247

Prime factors of 71247 are 3, 11, 17, 127. Prime factorization of 71247 in exponential form is:

71247 = 3¹ × 11¹ × 17¹ × 127¹

Step-2: Prime Factorization of 71264

Prime factors of 71264 are 2, 17, 131. Prime factorization of 71264 in exponential form is:

71264 = 2⁵ × 17¹ × 131¹

Step-3: Factors of 71247

List of positive integer factors of 71247 that divides 71247 without a remainder.

1, 3, 11, 17, 33, 51, 127, 187, 381, 561, 1397, 2159, 4191, 6477, 23749

Step-4: Factors of 71264

List of positive integer factors of 71264 that divides 71247 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 131, 136, 262, 272, 524, 544, 1048, 2096, 2227, 4192, 4454, 8908, 17816, 35632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71247 and 71264. The biggest common factor number is the GCF number.
So the greatest common factor 71247 and 71264 is 17.

Also check out the Least Common Multiple of 71247 and 71264