What is the Greatest Common Factor of 68263 and 68276?

Greatest common factor (GCF) of 68263 and 68276 is 13.

GCF(68263,68276) = 13

We will now calculate the prime factors of 68263 and 68276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68263 and 68276.

How to find the GCF of 68263 and 68276?

We will first find the prime factorization of 68263 and 68276. After we will calculate the factors of 68263 and 68276 and find the biggest common factor number .

Step-1: Prime Factorization of 68263

Prime factors of 68263 are 13, 59, 89. Prime factorization of 68263 in exponential form is:

68263 = 13¹ × 59¹ × 89¹

Step-2: Prime Factorization of 68276

Prime factors of 68276 are 2, 13, 101. Prime factorization of 68276 in exponential form is:

68276 = 2² × 13² × 101¹

Step-3: Factors of 68263

List of positive integer factors of 68263 that divides 68263 without a remainder.

1, 13, 59, 89, 767, 1157, 5251

Step-4: Factors of 68276

List of positive integer factors of 68276 that divides 68263 without a remainder.

1, 2, 4, 13, 26, 52, 101, 169, 202, 338, 404, 676, 1313, 2626, 5252, 17069, 34138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68263 and 68276. The biggest common factor number is the GCF number.
So the greatest common factor 68263 and 68276 is 13.

Also check out the Least Common Multiple of 68263 and 68276