What is the Greatest Common Factor of 88461 and 88470?

Greatest common factor (GCF) of 88461 and 88470 is 9.

GCF(88461,88470) = 9

We will now calculate the prime factors of 88461 and 88470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88461 and 88470.

How to find the GCF of 88461 and 88470?

We will first find the prime factorization of 88461 and 88470. After we will calculate the factors of 88461 and 88470 and find the biggest common factor number .

Step-1: Prime Factorization of 88461

Prime factors of 88461 are 3, 9829. Prime factorization of 88461 in exponential form is:

88461 = 3² × 9829¹

Step-2: 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-3: Factors of 88461

List of positive integer factors of 88461 that divides 88461 without a remainder.

1, 3, 9, 9829, 29487

Step-4: Factors of 88470

List of positive integer factors of 88470 that divides 88461 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88461 and 88470. The biggest common factor number is the GCF number.
So the greatest common factor 88461 and 88470 is 9.

Also check out the Least Common Multiple of 88461 and 88470