What is the Greatest Common Factor of 88170 and 88179?

Greatest common factor (GCF) of 88170 and 88179 is 3.

GCF(88170,88179) = 3

We will now calculate the prime factors of 88170 and 88179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88170 and 88179.

How to find the GCF of 88170 and 88179?

We will first find the prime factorization of 88170 and 88179. After we will calculate the factors of 88170 and 88179 and find the biggest common factor number .

Step-1: Prime Factorization of 88170

Prime factors of 88170 are 2, 3, 5, 2939. Prime factorization of 88170 in exponential form is:

88170 = 2¹ × 3¹ × 5¹ × 2939¹

Step-2: Prime Factorization of 88179

Prime factors of 88179 are 3, 7, 13, 17, 19. Prime factorization of 88179 in exponential form is:

88179 = 3¹ × 7¹ × 13¹ × 17¹ × 19¹

Step-3: Factors of 88170

List of positive integer factors of 88170 that divides 88170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2939, 5878, 8817, 14695, 17634, 29390, 44085

Step-4: Factors of 88179

List of positive integer factors of 88179 that divides 88170 without a remainder.

1, 3, 7, 13, 17, 19, 21, 39, 51, 57, 91, 119, 133, 221, 247, 273, 323, 357, 399, 663, 741, 969, 1547, 1729, 2261, 4199, 4641, 5187, 6783, 12597, 29393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88170 and 88179. The biggest common factor number is the GCF number.
So the greatest common factor 88170 and 88179 is 3.

Also check out the Least Common Multiple of 88170 and 88179