What is the Greatest Common Factor of 88080 and 88090?

Greatest common factor (GCF) of 88080 and 88090 is 10.

GCF(88080,88090) = 10

We will now calculate the prime factors of 88080 and 88090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88080 and 88090.

How to find the GCF of 88080 and 88090?

We will first find the prime factorization of 88080 and 88090. After we will calculate the factors of 88080 and 88090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88090

Prime factors of 88090 are 2, 5, 23, 383. Prime factorization of 88090 in exponential form is:

88090 = 2¹ × 5¹ × 23¹ × 383¹

Step-3: Factors of 88080

List of positive integer factors of 88080 that divides 88080 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

Step-4: Factors of 88090

List of positive integer factors of 88090 that divides 88080 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 383, 766, 1915, 3830, 8809, 17618, 44045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88080 and 88090. The biggest common factor number is the GCF number.
So the greatest common factor 88080 and 88090 is 10.

Also check out the Least Common Multiple of 88080 and 88090