What is the Greatest Common Factor of 68029 and 68047?

Greatest common factor (GCF) of 68029 and 68047 is 1.

GCF(68029,68047) = 1

We will now calculate the prime factors of 68029 and 68047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68029 and 68047.

How to find the GCF of 68029 and 68047?

We will first find the prime factorization of 68029 and 68047. After we will calculate the factors of 68029 and 68047 and find the biggest common factor number .

Step-1: Prime Factorization of 68029

Prime factors of 68029 are 13, 5233. Prime factorization of 68029 in exponential form is:

68029 = 13¹ × 5233¹

Step-2: Prime Factorization of 68047

Prime factors of 68047 are 7, 9721. Prime factorization of 68047 in exponential form is:

68047 = 7¹ × 9721¹

Step-3: Factors of 68029

List of positive integer factors of 68029 that divides 68029 without a remainder.

1, 13, 5233

Step-4: Factors of 68047

List of positive integer factors of 68047 that divides 68029 without a remainder.

1, 7, 9721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68029 and 68047. The biggest common factor number is the GCF number.
So the greatest common factor 68029 and 68047 is 1.

Also check out the Least Common Multiple of 68029 and 68047