What is the Greatest Common Factor of 62826 and 62830?

Greatest common factor (GCF) of 62826 and 62830 is 2.

GCF(62826,62830) = 2

We will now calculate the prime factors of 62826 and 62830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62826 and 62830.

How to find the GCF of 62826 and 62830?

We will first find the prime factorization of 62826 and 62830. After we will calculate the factors of 62826 and 62830 and find the biggest common factor number .

Step-1: Prime Factorization of 62826

Prime factors of 62826 are 2, 3, 37, 283. Prime factorization of 62826 in exponential form is:

62826 = 2¹ × 3¹ × 37¹ × 283¹

Step-2: Prime Factorization of 62830

Prime factors of 62830 are 2, 5, 61, 103. Prime factorization of 62830 in exponential form is:

62830 = 2¹ × 5¹ × 61¹ × 103¹

Step-3: Factors of 62826

List of positive integer factors of 62826 that divides 62826 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 283, 566, 849, 1698, 10471, 20942, 31413

Step-4: Factors of 62830

List of positive integer factors of 62830 that divides 62826 without a remainder.

1, 2, 5, 10, 61, 103, 122, 206, 305, 515, 610, 1030, 6283, 12566, 31415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62826 and 62830. The biggest common factor number is the GCF number.
So the greatest common factor 62826 and 62830 is 2.

Also check out the Least Common Multiple of 62826 and 62830