What is the Greatest Common Factor of 75218 and 75229?

Greatest common factor (GCF) of 75218 and 75229 is 11.

GCF(75218,75229) = 11

We will now calculate the prime factors of 75218 and 75229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75218 and 75229.

How to find the GCF of 75218 and 75229?

We will first find the prime factorization of 75218 and 75229. After we will calculate the factors of 75218 and 75229 and find the biggest common factor number .

Step-1: Prime Factorization of 75218

Prime factors of 75218 are 2, 11, 13, 263. Prime factorization of 75218 in exponential form is:

75218 = 2¹ × 11¹ × 13¹ × 263¹

Step-2: Prime Factorization of 75229

Prime factors of 75229 are 7, 11, 977. Prime factorization of 75229 in exponential form is:

75229 = 7¹ × 11¹ × 977¹

Step-3: Factors of 75218

List of positive integer factors of 75218 that divides 75218 without a remainder.

1, 2, 11, 13, 22, 26, 143, 263, 286, 526, 2893, 3419, 5786, 6838, 37609

Step-4: Factors of 75229

List of positive integer factors of 75229 that divides 75218 without a remainder.

1, 7, 11, 77, 977, 6839, 10747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75218 and 75229. The biggest common factor number is the GCF number.
So the greatest common factor 75218 and 75229 is 11.

Also check out the Least Common Multiple of 75218 and 75229