What is the Greatest Common Factor of 88749 and 88768?

Greatest common factor (GCF) of 88749 and 88768 is 19.

GCF(88749,88768) = 19

We will now calculate the prime factors of 88749 and 88768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88749 and 88768.

How to find the GCF of 88749 and 88768?

We will first find the prime factorization of 88749 and 88768. After we will calculate the factors of 88749 and 88768 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 88768

Prime factors of 88768 are 2, 19, 73. Prime factorization of 88768 in exponential form is:

88768 = 2⁶ × 19¹ × 73¹

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 88768

List of positive integer factors of 88768 that divides 88749 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 73, 76, 146, 152, 292, 304, 584, 608, 1168, 1216, 1387, 2336, 2774, 4672, 5548, 11096, 22192, 44384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88749 and 88768. The biggest common factor number is the GCF number.
So the greatest common factor 88749 and 88768 is 19.

Also check out the Least Common Multiple of 88749 and 88768