What is the Greatest Common Factor of 68360 and 68377?

Greatest common factor (GCF) of 68360 and 68377 is 1.

GCF(68360,68377) = 1

We will now calculate the prime factors of 68360 and 68377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68360 and 68377.

How to find the GCF of 68360 and 68377?

We will first find the prime factorization of 68360 and 68377. After we will calculate the factors of 68360 and 68377 and find the biggest common factor number .

Step-1: Prime Factorization of 68360

Prime factors of 68360 are 2, 5, 1709. Prime factorization of 68360 in exponential form is:

68360 = 2³ × 5¹ × 1709¹

Step-2: Prime Factorization of 68377

Prime factors of 68377 are 101, 677. Prime factorization of 68377 in exponential form is:

68377 = 101¹ × 677¹

Step-3: Factors of 68360

List of positive integer factors of 68360 that divides 68360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1709, 3418, 6836, 8545, 13672, 17090, 34180

Step-4: Factors of 68377

List of positive integer factors of 68377 that divides 68360 without a remainder.

1, 101, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68360 and 68377. The biggest common factor number is the GCF number.
So the greatest common factor 68360 and 68377 is 1.

Also check out the Least Common Multiple of 68360 and 68377