What is the Greatest Common Factor of 68253 and 68263?

Greatest common factor (GCF) of 68253 and 68263 is 1.

GCF(68253,68263) = 1

We will now calculate the prime factors of 68253 and 68263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68253 and 68263.

How to find the GCF of 68253 and 68263?

We will first find the prime factorization of 68253 and 68263. After we will calculate the factors of 68253 and 68263 and find the biggest common factor number .

Step-1: Prime Factorization of 68253

Prime factors of 68253 are 3, 22751. Prime factorization of 68253 in exponential form is:

68253 = 3¹ × 22751¹

Step-2: 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-3: Factors of 68253

List of positive integer factors of 68253 that divides 68253 without a remainder.

1, 3, 22751

Step-4: Factors of 68263

List of positive integer factors of 68263 that divides 68253 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68253 and 68263. The biggest common factor number is the GCF number.
So the greatest common factor 68253 and 68263 is 1.

Also check out the Least Common Multiple of 68253 and 68263