What is the Greatest Common Factor of 88749 and 88764?

Greatest common factor (GCF) of 88749 and 88764 is 3.

GCF(88749,88764) = 3

We will now calculate the prime factors of 88749 and 88764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88749 and 88764.

How to find the GCF of 88749 and 88764?

We will first find the prime factorization of 88749 and 88764. After we will calculate the factors of 88749 and 88764 and find the biggest common factor number .

Step-1: Prime Factorization of 88749

Prime factors of 88749 are 3, 19, 173. Prime factorization of 88749 in exponential form is:

88749 = 3³ × 19¹ × 173¹

Step-2: Prime Factorization of 88764

Prime factors of 88764 are 2, 3, 13, 569. Prime factorization of 88764 in exponential form is:

88764 = 2² × 3¹ × 13¹ × 569¹

Step-3: Factors of 88749

List of positive integer factors of 88749 that divides 88749 without a remainder.

1, 3, 9, 19, 27, 57, 171, 173, 513, 519, 1557, 3287, 4671, 9861, 29583

Step-4: Factors of 88764

List of positive integer factors of 88764 that divides 88749 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 569, 1138, 1707, 2276, 3414, 6828, 7397, 14794, 22191, 29588, 44382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88749 and 88764. The biggest common factor number is the GCF number.
So the greatest common factor 88749 and 88764 is 3.

Also check out the Least Common Multiple of 88749 and 88764