What is the Greatest Common Factor of 62834 and 62854?

Greatest common factor (GCF) of 62834 and 62854 is 2.

GCF(62834,62854) = 2

We will now calculate the prime factors of 62834 and 62854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62834 and 62854.

How to find the GCF of 62834 and 62854?

We will first find the prime factorization of 62834 and 62854. After we will calculate the factors of 62834 and 62854 and find the biggest common factor number .

Step-1: Prime Factorization of 62834

Prime factors of 62834 are 2, 89, 353. Prime factorization of 62834 in exponential form is:

62834 = 2¹ × 89¹ × 353¹

Step-2: Prime Factorization of 62854

Prime factors of 62854 are 2, 11, 2857. Prime factorization of 62854 in exponential form is:

62854 = 2¹ × 11¹ × 2857¹

Step-3: Factors of 62834

List of positive integer factors of 62834 that divides 62834 without a remainder.

1, 2, 89, 178, 353, 706, 31417

Step-4: Factors of 62854

List of positive integer factors of 62854 that divides 62834 without a remainder.

1, 2, 11, 22, 2857, 5714, 31427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62834 and 62854. The biggest common factor number is the GCF number.
So the greatest common factor 62834 and 62854 is 2.

Also check out the Least Common Multiple of 62834 and 62854