What is the Greatest Common Factor of 88260 and 88269?

Greatest common factor (GCF) of 88260 and 88269 is 3.

GCF(88260,88269) = 3

We will now calculate the prime factors of 88260 and 88269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88260 and 88269.

How to find the GCF of 88260 and 88269?

We will first find the prime factorization of 88260 and 88269. After we will calculate the factors of 88260 and 88269 and find the biggest common factor number .

Step-1: Prime Factorization of 88260

Prime factors of 88260 are 2, 3, 5, 1471. Prime factorization of 88260 in exponential form is:

88260 = 2² × 3¹ × 5¹ × 1471¹

Step-2: Prime Factorization of 88269

Prime factors of 88269 are 3, 29423. Prime factorization of 88269 in exponential form is:

88269 = 3¹ × 29423¹

Step-3: Factors of 88260

List of positive integer factors of 88260 that divides 88260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1471, 2942, 4413, 5884, 7355, 8826, 14710, 17652, 22065, 29420, 44130

Step-4: Factors of 88269

List of positive integer factors of 88269 that divides 88260 without a remainder.

1, 3, 29423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88260 and 88269. The biggest common factor number is the GCF number.
So the greatest common factor 88260 and 88269 is 3.

Also check out the Least Common Multiple of 88260 and 88269