What is the Greatest Common Factor of 29211 and 29225?

Greatest common factor (GCF) of 29211 and 29225 is 7.

GCF(29211,29225) = 7

We will now calculate the prime factors of 29211 and 29225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29211 and 29225.

How to find the GCF of 29211 and 29225?

We will first find the prime factorization of 29211 and 29225. After we will calculate the factors of 29211 and 29225 and find the biggest common factor number .

Step-1: Prime Factorization of 29211

Prime factors of 29211 are 3, 7, 13, 107. Prime factorization of 29211 in exponential form is:

29211 = 3¹ × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 29225

Prime factors of 29225 are 5, 7, 167. Prime factorization of 29225 in exponential form is:

29225 = 5² × 7¹ × 167¹

Step-3: Factors of 29211

List of positive integer factors of 29211 that divides 29211 without a remainder.

1, 3, 7, 13, 21, 39, 91, 107, 273, 321, 749, 1391, 2247, 4173, 9737

Step-4: Factors of 29225

List of positive integer factors of 29225 that divides 29211 without a remainder.

1, 5, 7, 25, 35, 167, 175, 835, 1169, 4175, 5845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29211 and 29225. The biggest common factor number is the GCF number.
So the greatest common factor 29211 and 29225 is 7.

Also check out the Least Common Multiple of 29211 and 29225