What is the Greatest Common Factor of 29822 and 29827?

Greatest common factor (GCF) of 29822 and 29827 is 1.

GCF(29822,29827) = 1

We will now calculate the prime factors of 29822 and 29827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29822 and 29827.

How to find the GCF of 29822 and 29827?

We will first find the prime factorization of 29822 and 29827. After we will calculate the factors of 29822 and 29827 and find the biggest common factor number .

Step-1: Prime Factorization of 29822

Prime factors of 29822 are 2, 13, 31, 37. Prime factorization of 29822 in exponential form is:

29822 = 2¹ × 13¹ × 31¹ × 37¹

Step-2: Prime Factorization of 29827

Prime factors of 29827 are 7, 4261. Prime factorization of 29827 in exponential form is:

29827 = 7¹ × 4261¹

Step-3: Factors of 29822

List of positive integer factors of 29822 that divides 29822 without a remainder.

1, 2, 13, 26, 31, 37, 62, 74, 403, 481, 806, 962, 1147, 2294, 14911

Step-4: Factors of 29827

List of positive integer factors of 29827 that divides 29822 without a remainder.

1, 7, 4261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29822 and 29827. The biggest common factor number is the GCF number.
So the greatest common factor 29822 and 29827 is 1.

Also check out the Least Common Multiple of 29822 and 29827