What is the Greatest Common Factor of 58802 and 58822?

Greatest common factor (GCF) of 58802 and 58822 is 2.

GCF(58802,58822) = 2

We will now calculate the prime factors of 58802 and 58822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58802 and 58822.

How to find the GCF of 58802 and 58822?

We will first find the prime factorization of 58802 and 58822. After we will calculate the factors of 58802 and 58822 and find the biggest common factor number .

Step-1: Prime Factorization of 58802

Prime factors of 58802 are 2, 29401. Prime factorization of 58802 in exponential form is:

58802 = 2¹ × 29401¹

Step-2: Prime Factorization of 58822

Prime factors of 58822 are 2, 29411. Prime factorization of 58822 in exponential form is:

58822 = 2¹ × 29411¹

Step-3: Factors of 58802

List of positive integer factors of 58802 that divides 58802 without a remainder.

1, 2, 29401

Step-4: Factors of 58822

List of positive integer factors of 58822 that divides 58802 without a remainder.

1, 2, 29411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58802 and 58822. The biggest common factor number is the GCF number.
So the greatest common factor 58802 and 58822 is 2.

Also check out the Least Common Multiple of 58802 and 58822