What is the Greatest Common Factor of 68834 and 68848?

Greatest common factor (GCF) of 68834 and 68848 is 2.

GCF(68834,68848) = 2

We will now calculate the prime factors of 68834 and 68848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68834 and 68848.

How to find the GCF of 68834 and 68848?

We will first find the prime factorization of 68834 and 68848. After we will calculate the factors of 68834 and 68848 and find the biggest common factor number .

Step-1: Prime Factorization of 68834

Prime factors of 68834 are 2, 127, 271. Prime factorization of 68834 in exponential form is:

68834 = 2¹ × 127¹ × 271¹

Step-2: Prime Factorization of 68848

Prime factors of 68848 are 2, 13, 331. Prime factorization of 68848 in exponential form is:

68848 = 2⁴ × 13¹ × 331¹

Step-3: Factors of 68834

List of positive integer factors of 68834 that divides 68834 without a remainder.

1, 2, 127, 254, 271, 542, 34417

Step-4: Factors of 68848

List of positive integer factors of 68848 that divides 68834 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 331, 662, 1324, 2648, 4303, 5296, 8606, 17212, 34424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68834 and 68848. The biggest common factor number is the GCF number.
So the greatest common factor 68834 and 68848 is 2.

Also check out the Least Common Multiple of 68834 and 68848