What is the Greatest Common Factor of 88260 and 88267?

Greatest common factor (GCF) of 88260 and 88267 is 1.

GCF(88260,88267) = 1

We will now calculate the prime factors of 88260 and 88267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88260 and 88267.

How to find the GCF of 88260 and 88267?

We will first find the prime factorization of 88260 and 88267. After we will calculate the factors of 88260 and 88267 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 88267

Prime factors of 88267 are 61, 1447. Prime factorization of 88267 in exponential form is:

88267 = 61¹ × 1447¹

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 88267

List of positive integer factors of 88267 that divides 88260 without a remainder.

1, 61, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88260 and 88267. The biggest common factor number is the GCF number.
So the greatest common factor 88260 and 88267 is 1.

Also check out the Least Common Multiple of 88260 and 88267