What is the Greatest Common Factor of 88782 and 88797?

Greatest common factor (GCF) of 88782 and 88797 is 3.

GCF(88782,88797) = 3

We will now calculate the prime factors of 88782 and 88797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88782 and 88797.

How to find the GCF of 88782 and 88797?

We will first find the prime factorization of 88782 and 88797. After we will calculate the factors of 88782 and 88797 and find the biggest common factor number .

Step-1: Prime Factorization of 88782

Prime factors of 88782 are 2, 3, 14797. Prime factorization of 88782 in exponential form is:

88782 = 2¹ × 3¹ × 14797¹

Step-2: Prime Factorization of 88797

Prime factors of 88797 are 3, 29599. Prime factorization of 88797 in exponential form is:

88797 = 3¹ × 29599¹

Step-3: Factors of 88782

List of positive integer factors of 88782 that divides 88782 without a remainder.

1, 2, 3, 6, 14797, 29594, 44391

Step-4: Factors of 88797

List of positive integer factors of 88797 that divides 88782 without a remainder.

1, 3, 29599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88782 and 88797. The biggest common factor number is the GCF number.
So the greatest common factor 88782 and 88797 is 3.

Also check out the Least Common Multiple of 88782 and 88797