What is the Greatest Common Factor of 59805 and 59822?

Greatest common factor (GCF) of 59805 and 59822 is 1.

GCF(59805,59822) = 1

We will now calculate the prime factors of 59805 and 59822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59805 and 59822.

How to find the GCF of 59805 and 59822?

We will first find the prime factorization of 59805 and 59822. After we will calculate the factors of 59805 and 59822 and find the biggest common factor number .

Step-1: Prime Factorization of 59805

Prime factors of 59805 are 3, 5, 443. Prime factorization of 59805 in exponential form is:

59805 = 3³ × 5¹ × 443¹

Step-2: 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-3: Factors of 59805

List of positive integer factors of 59805 that divides 59805 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 443, 1329, 2215, 3987, 6645, 11961, 19935

Step-4: Factors of 59822

List of positive integer factors of 59822 that divides 59805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59805 and 59822. The biggest common factor number is the GCF number.
So the greatest common factor 59805 and 59822 is 1.

Also check out the Least Common Multiple of 59805 and 59822