What is the Greatest Common Factor of 62829 and 62835?

Greatest common factor (GCF) of 62829 and 62835 is 3.

GCF(62829,62835) = 3

We will now calculate the prime factors of 62829 and 62835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62829 and 62835.

How to find the GCF of 62829 and 62835?

We will first find the prime factorization of 62829 and 62835. After we will calculate the factors of 62829 and 62835 and find the biggest common factor number .

Step-1: Prime Factorization of 62829

Prime factors of 62829 are 3, 13, 179. Prime factorization of 62829 in exponential form is:

62829 = 3³ × 13¹ × 179¹

Step-2: Prime Factorization of 62835

Prime factors of 62835 are 3, 5, 59, 71. Prime factorization of 62835 in exponential form is:

62835 = 3¹ × 5¹ × 59¹ × 71¹

Step-3: Factors of 62829

List of positive integer factors of 62829 that divides 62829 without a remainder.

1, 3, 9, 13, 27, 39, 117, 179, 351, 537, 1611, 2327, 4833, 6981, 20943

Step-4: Factors of 62835

List of positive integer factors of 62835 that divides 62829 without a remainder.

1, 3, 5, 15, 59, 71, 177, 213, 295, 355, 885, 1065, 4189, 12567, 20945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62829 and 62835. The biggest common factor number is the GCF number.
So the greatest common factor 62829 and 62835 is 3.

Also check out the Least Common Multiple of 62829 and 62835