What is the Greatest Common Factor of 68617 and 68629?

Greatest common factor (GCF) of 68617 and 68629 is 1.

GCF(68617,68629) = 1

We will now calculate the prime factors of 68617 and 68629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68617 and 68629.

How to find the GCF of 68617 and 68629?

We will first find the prime factorization of 68617 and 68629. After we will calculate the factors of 68617 and 68629 and find the biggest common factor number .

Step-1: Prime Factorization of 68617

Prime factors of 68617 are 59, 1163. Prime factorization of 68617 in exponential form is:

68617 = 59¹ × 1163¹

Step-2: Prime Factorization of 68629

Prime factors of 68629 are 11, 17, 367. Prime factorization of 68629 in exponential form is:

68629 = 11¹ × 17¹ × 367¹

Step-3: Factors of 68617

List of positive integer factors of 68617 that divides 68617 without a remainder.

1, 59, 1163

Step-4: Factors of 68629

List of positive integer factors of 68629 that divides 68617 without a remainder.

1, 11, 17, 187, 367, 4037, 6239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68617 and 68629. The biggest common factor number is the GCF number.
So the greatest common factor 68617 and 68629 is 1.

Also check out the Least Common Multiple of 68617 and 68629