What is the Greatest Common Factor of 88730 and 88749?

Greatest common factor (GCF) of 88730 and 88749 is 19.

GCF(88730,88749) = 19

We will now calculate the prime factors of 88730 and 88749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88730 and 88749.

How to find the GCF of 88730 and 88749?

We will first find the prime factorization of 88730 and 88749. After we will calculate the factors of 88730 and 88749 and find the biggest common factor number .

Step-1: Prime Factorization of 88730

Prime factors of 88730 are 2, 5, 19, 467. Prime factorization of 88730 in exponential form is:

88730 = 2¹ × 5¹ × 19¹ × 467¹

Step-2: 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-3: Factors of 88730

List of positive integer factors of 88730 that divides 88730 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 467, 934, 2335, 4670, 8873, 17746, 44365

Step-4: Factors of 88749

List of positive integer factors of 88749 that divides 88730 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88730 and 88749. The biggest common factor number is the GCF number.
So the greatest common factor 88730 and 88749 is 19.

Also check out the Least Common Multiple of 88730 and 88749