What is the Greatest Common Factor of 88260 and 88276?

Greatest common factor (GCF) of 88260 and 88276 is 4.

GCF(88260,88276) = 4

We will now calculate the prime factors of 88260 and 88276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88260 and 88276.

How to find the GCF of 88260 and 88276?

We will first find the prime factorization of 88260 and 88276. After we will calculate the factors of 88260 and 88276 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 88276

Prime factors of 88276 are 2, 29, 761. Prime factorization of 88276 in exponential form is:

88276 = 2² × 29¹ × 761¹

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 88276

List of positive integer factors of 88276 that divides 88260 without a remainder.

1, 2, 4, 29, 58, 116, 761, 1522, 3044, 22069, 44138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88260 and 88276. The biggest common factor number is the GCF number.
So the greatest common factor 88260 and 88276 is 4.

Also check out the Least Common Multiple of 88260 and 88276