What is the Greatest Common Factor of 62804 and 62822?

Greatest common factor (GCF) of 62804 and 62822 is 2.

GCF(62804,62822) = 2

We will now calculate the prime factors of 62804 and 62822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62804 and 62822.

How to find the GCF of 62804 and 62822?

We will first find the prime factorization of 62804 and 62822. After we will calculate the factors of 62804 and 62822 and find the biggest common factor number .

Step-1: Prime Factorization of 62804

Prime factors of 62804 are 2, 7, 2243. Prime factorization of 62804 in exponential form is:

62804 = 2² × 7¹ × 2243¹

Step-2: Prime Factorization of 62822

Prime factors of 62822 are 2, 101, 311. Prime factorization of 62822 in exponential form is:

62822 = 2¹ × 101¹ × 311¹

Step-3: Factors of 62804

List of positive integer factors of 62804 that divides 62804 without a remainder.

1, 2, 4, 7, 14, 28, 2243, 4486, 8972, 15701, 31402

Step-4: Factors of 62822

List of positive integer factors of 62822 that divides 62804 without a remainder.

1, 2, 101, 202, 311, 622, 31411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62804 and 62822. The biggest common factor number is the GCF number.
So the greatest common factor 62804 and 62822 is 2.

Also check out the Least Common Multiple of 62804 and 62822