What is the Greatest Common Factor of 88076 and 88080?

Greatest common factor (GCF) of 88076 and 88080 is 4.

GCF(88076,88080) = 4

We will now calculate the prime factors of 88076 and 88080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88076 and 88080.

How to find the GCF of 88076 and 88080?

We will first find the prime factorization of 88076 and 88080. After we will calculate the factors of 88076 and 88080 and find the biggest common factor number .

Step-1: Prime Factorization of 88076

Prime factors of 88076 are 2, 97, 227. Prime factorization of 88076 in exponential form is:

88076 = 2² × 97¹ × 227¹

Step-2: Prime Factorization of 88080

Prime factors of 88080 are 2, 3, 5, 367. Prime factorization of 88080 in exponential form is:

88080 = 2⁴ × 3¹ × 5¹ × 367¹

Step-3: Factors of 88076

List of positive integer factors of 88076 that divides 88076 without a remainder.

1, 2, 4, 97, 194, 227, 388, 454, 908, 22019, 44038

Step-4: Factors of 88080

List of positive integer factors of 88080 that divides 88076 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 367, 734, 1101, 1468, 1835, 2202, 2936, 3670, 4404, 5505, 5872, 7340, 8808, 11010, 14680, 17616, 22020, 29360, 44040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88076 and 88080. The biggest common factor number is the GCF number.
So the greatest common factor 88076 and 88080 is 4.

Also check out the Least Common Multiple of 88076 and 88080