What is the Greatest Common Factor of 68815 and 68835?

Greatest common factor (GCF) of 68815 and 68835 is 5.

GCF(68815,68835) = 5

We will now calculate the prime factors of 68815 and 68835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68815 and 68835.

How to find the GCF of 68815 and 68835?

We will first find the prime factorization of 68815 and 68835. After we will calculate the factors of 68815 and 68835 and find the biggest common factor number .

Step-1: Prime Factorization of 68815

Prime factors of 68815 are 5, 13763. Prime factorization of 68815 in exponential form is:

68815 = 5¹ × 13763¹

Step-2: Prime Factorization of 68835

Prime factors of 68835 are 3, 5, 13, 353. Prime factorization of 68835 in exponential form is:

68835 = 3¹ × 5¹ × 13¹ × 353¹

Step-3: Factors of 68815

List of positive integer factors of 68815 that divides 68815 without a remainder.

1, 5, 13763

Step-4: Factors of 68835

List of positive integer factors of 68835 that divides 68815 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 353, 1059, 1765, 4589, 5295, 13767, 22945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68815 and 68835. The biggest common factor number is the GCF number.
So the greatest common factor 68815 and 68835 is 5.

Also check out the Least Common Multiple of 68815 and 68835