What is the Greatest Common Factor of 62676 and 62682?

Greatest common factor (GCF) of 62676 and 62682 is 6.

GCF(62676,62682) = 6

We will now calculate the prime factors of 62676 and 62682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62676 and 62682.

How to find the GCF of 62676 and 62682?

We will first find the prime factorization of 62676 and 62682. After we will calculate the factors of 62676 and 62682 and find the biggest common factor number .

Step-1: Prime Factorization of 62676

Prime factors of 62676 are 2, 3, 1741. Prime factorization of 62676 in exponential form is:

62676 = 2² × 3² × 1741¹

Step-2: Prime Factorization of 62682

Prime factors of 62682 are 2, 3, 31, 337. Prime factorization of 62682 in exponential form is:

62682 = 2¹ × 3¹ × 31¹ × 337¹

Step-3: Factors of 62676

List of positive integer factors of 62676 that divides 62676 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1741, 3482, 5223, 6964, 10446, 15669, 20892, 31338

Step-4: Factors of 62682

List of positive integer factors of 62682 that divides 62676 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 337, 674, 1011, 2022, 10447, 20894, 31341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62676 and 62682. The biggest common factor number is the GCF number.
So the greatest common factor 62676 and 62682 is 6.

Also check out the Least Common Multiple of 62676 and 62682