What is the Greatest Common Factor of 88065 and 88074?

Greatest common factor (GCF) of 88065 and 88074 is 9.

GCF(88065,88074) = 9

We will now calculate the prime factors of 88065 and 88074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88065 and 88074.

How to find the GCF of 88065 and 88074?

We will first find the prime factorization of 88065 and 88074. After we will calculate the factors of 88065 and 88074 and find the biggest common factor number .

Step-1: Prime Factorization of 88065

Prime factors of 88065 are 3, 5, 19, 103. Prime factorization of 88065 in exponential form is:

88065 = 3² × 5¹ × 19¹ × 103¹

Step-2: Prime Factorization of 88074

Prime factors of 88074 are 2, 3, 7, 233. Prime factorization of 88074 in exponential form is:

88074 = 2¹ × 3³ × 7¹ × 233¹

Step-3: Factors of 88065

List of positive integer factors of 88065 that divides 88065 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 103, 171, 285, 309, 515, 855, 927, 1545, 1957, 4635, 5871, 9785, 17613, 29355

Step-4: Factors of 88074

List of positive integer factors of 88074 that divides 88065 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 233, 378, 466, 699, 1398, 1631, 2097, 3262, 4194, 4893, 6291, 9786, 12582, 14679, 29358, 44037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88065 and 88074. The biggest common factor number is the GCF number.
So the greatest common factor 88065 and 88074 is 9.

Also check out the Least Common Multiple of 88065 and 88074