What is the Greatest Common Factor of 75822 and 75829?

Greatest common factor (GCF) of 75822 and 75829 is 1.

GCF(75822,75829) = 1

We will now calculate the prime factors of 75822 and 75829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75822 and 75829.

How to find the GCF of 75822 and 75829?

We will first find the prime factorization of 75822 and 75829. After we will calculate the factors of 75822 and 75829 and find the biggest common factor number .

Step-1: Prime Factorization of 75822

Prime factors of 75822 are 2, 3, 12637. Prime factorization of 75822 in exponential form is:

75822 = 2¹ × 3¹ × 12637¹

Step-2: Prime Factorization of 75829

Prime factors of 75829 are 13, 19, 307. Prime factorization of 75829 in exponential form is:

75829 = 13¹ × 19¹ × 307¹

Step-3: Factors of 75822

List of positive integer factors of 75822 that divides 75822 without a remainder.

1, 2, 3, 6, 12637, 25274, 37911

Step-4: Factors of 75829

List of positive integer factors of 75829 that divides 75822 without a remainder.

1, 13, 19, 247, 307, 3991, 5833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75822 and 75829. The biggest common factor number is the GCF number.
So the greatest common factor 75822 and 75829 is 1.

Also check out the Least Common Multiple of 75822 and 75829