What is the Greatest Common Factor of 88470 and 88479?

Greatest common factor (GCF) of 88470 and 88479 is 9.

GCF(88470,88479) = 9

We will now calculate the prime factors of 88470 and 88479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88470 and 88479.

How to find the GCF of 88470 and 88479?

We will first find the prime factorization of 88470 and 88479. After we will calculate the factors of 88470 and 88479 and find the biggest common factor number .

Step-1: Prime Factorization of 88470

Prime factors of 88470 are 2, 3, 5, 983. Prime factorization of 88470 in exponential form is:

88470 = 2¹ × 3² × 5¹ × 983¹

Step-2: Prime Factorization of 88479

Prime factors of 88479 are 3, 29, 113. Prime factorization of 88479 in exponential form is:

88479 = 3³ × 29¹ × 113¹

Step-3: Factors of 88470

List of positive integer factors of 88470 that divides 88470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 983, 1966, 2949, 4915, 5898, 8847, 9830, 14745, 17694, 29490, 44235

Step-4: Factors of 88479

List of positive integer factors of 88479 that divides 88470 without a remainder.

1, 3, 9, 27, 29, 87, 113, 261, 339, 783, 1017, 3051, 3277, 9831, 29493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88470 and 88479. The biggest common factor number is the GCF number.
So the greatest common factor 88470 and 88479 is 9.

Also check out the Least Common Multiple of 88470 and 88479