What is the Greatest Common Factor of 60826 and 60834?

Greatest common factor (GCF) of 60826 and 60834 is 2.

GCF(60826,60834) = 2

We will now calculate the prime factors of 60826 and 60834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60826 and 60834.

How to find the GCF of 60826 and 60834?

We will first find the prime factorization of 60826 and 60834. After we will calculate the factors of 60826 and 60834 and find the biggest common factor number .

Step-1: Prime Factorization of 60826

Prime factors of 60826 are 2, 17, 1789. Prime factorization of 60826 in exponential form is:

60826 = 2¹ × 17¹ × 1789¹

Step-2: Prime Factorization of 60834

Prime factors of 60834 are 2, 3, 10139. Prime factorization of 60834 in exponential form is:

60834 = 2¹ × 3¹ × 10139¹

Step-3: Factors of 60826

List of positive integer factors of 60826 that divides 60826 without a remainder.

1, 2, 17, 34, 1789, 3578, 30413

Step-4: Factors of 60834

List of positive integer factors of 60834 that divides 60826 without a remainder.

1, 2, 3, 6, 10139, 20278, 30417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60826 and 60834. The biggest common factor number is the GCF number.
So the greatest common factor 60826 and 60834 is 2.

Also check out the Least Common Multiple of 60826 and 60834