What is the Greatest Common Factor of 62872 and 62882?

Greatest common factor (GCF) of 62872 and 62882 is 2.

GCF(62872,62882) = 2

We will now calculate the prime factors of 62872 and 62882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62872 and 62882.

How to find the GCF of 62872 and 62882?

We will first find the prime factorization of 62872 and 62882. After we will calculate the factors of 62872 and 62882 and find the biggest common factor number .

Step-1: Prime Factorization of 62872

Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:

62872 = 2³ × 29¹ × 271¹

Step-2: Prime Factorization of 62882

Prime factors of 62882 are 2, 23, 1367. Prime factorization of 62882 in exponential form is:

62882 = 2¹ × 23¹ × 1367¹

Step-3: Factors of 62872

List of positive integer factors of 62872 that divides 62872 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 271, 542, 1084, 2168, 7859, 15718, 31436

Step-4: Factors of 62882

List of positive integer factors of 62882 that divides 62872 without a remainder.

1, 2, 23, 46, 1367, 2734, 31441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62872 and 62882. The biggest common factor number is the GCF number.
So the greatest common factor 62872 and 62882 is 2.

Also check out the Least Common Multiple of 62872 and 62882