What is the Greatest Common Factor of 88965 and 88970?

Greatest common factor (GCF) of 88965 and 88970 is 5.

GCF(88965,88970) = 5

We will now calculate the prime factors of 88965 and 88970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88965 and 88970.

How to find the GCF of 88965 and 88970?

We will first find the prime factorization of 88965 and 88970. After we will calculate the factors of 88965 and 88970 and find the biggest common factor number .

Step-1: Prime Factorization of 88965

Prime factors of 88965 are 3, 5, 659. Prime factorization of 88965 in exponential form is:

88965 = 3³ × 5¹ × 659¹

Step-2: Prime Factorization of 88970

Prime factors of 88970 are 2, 5, 7, 31, 41. Prime factorization of 88970 in exponential form is:

88970 = 2¹ × 5¹ × 7¹ × 31¹ × 41¹

Step-3: Factors of 88965

List of positive integer factors of 88965 that divides 88965 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 659, 1977, 3295, 5931, 9885, 17793, 29655

Step-4: Factors of 88970

List of positive integer factors of 88970 that divides 88965 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 41, 62, 70, 82, 155, 205, 217, 287, 310, 410, 434, 574, 1085, 1271, 1435, 2170, 2542, 2870, 6355, 8897, 12710, 17794, 44485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88965 and 88970. The biggest common factor number is the GCF number.
So the greatest common factor 88965 and 88970 is 5.

Also check out the Least Common Multiple of 88965 and 88970