What is the Greatest Common Factor of 71253 and 71266?

Greatest common factor (GCF) of 71253 and 71266 is 13.

GCF(71253,71266) = 13

We will now calculate the prime factors of 71253 and 71266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71253 and 71266.

How to find the GCF of 71253 and 71266?

We will first find the prime factorization of 71253 and 71266. After we will calculate the factors of 71253 and 71266 and find the biggest common factor number .

Step-1: Prime Factorization of 71253

Prime factors of 71253 are 3, 7, 13, 29. Prime factorization of 71253 in exponential form is:

71253 = 3³ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 71266

Prime factors of 71266 are 2, 13, 2741. Prime factorization of 71266 in exponential form is:

71266 = 2¹ × 13¹ × 2741¹

Step-3: Factors of 71253

List of positive integer factors of 71253 that divides 71253 without a remainder.

1, 3, 7, 9, 13, 21, 27, 29, 39, 63, 87, 91, 117, 189, 203, 261, 273, 351, 377, 609, 783, 819, 1131, 1827, 2457, 2639, 3393, 5481, 7917, 10179, 23751

Step-4: Factors of 71266

List of positive integer factors of 71266 that divides 71253 without a remainder.

1, 2, 13, 26, 2741, 5482, 35633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71253 and 71266. The biggest common factor number is the GCF number.
So the greatest common factor 71253 and 71266 is 13.

Also check out the Least Common Multiple of 71253 and 71266