What is the Greatest Common Factor of 59822 and 59829?

Greatest common factor (GCF) of 59822 and 59829 is 7.

GCF(59822,59829) = 7

We will now calculate the prime factors of 59822 and 59829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59822 and 59829.

How to find the GCF of 59822 and 59829?

We will first find the prime factorization of 59822 and 59829. After we will calculate the factors of 59822 and 59829 and find the biggest common factor number .

Step-1: Prime Factorization of 59822

Prime factors of 59822 are 2, 7, 4273. Prime factorization of 59822 in exponential form is:

59822 = 2¹ × 7¹ × 4273¹

Step-2: Prime Factorization of 59829

Prime factors of 59829 are 3, 7, 11, 37. Prime factorization of 59829 in exponential form is:

59829 = 3¹ × 7² × 11¹ × 37¹

Step-3: Factors of 59822

List of positive integer factors of 59822 that divides 59822 without a remainder.

1, 2, 7, 14, 4273, 8546, 29911

Step-4: Factors of 59829

List of positive integer factors of 59829 that divides 59822 without a remainder.

1, 3, 7, 11, 21, 33, 37, 49, 77, 111, 147, 231, 259, 407, 539, 777, 1221, 1617, 1813, 2849, 5439, 8547, 19943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59822 and 59829. The biggest common factor number is the GCF number.
So the greatest common factor 59822 and 59829 is 7.

Also check out the Least Common Multiple of 59822 and 59829