What is the Greatest Common Factor of 69753 and 69768?

Greatest common factor (GCF) of 69753 and 69768 is 3.

GCF(69753,69768) = 3

We will now calculate the prime factors of 69753 and 69768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69753 and 69768.

How to find the GCF of 69753 and 69768?

We will first find the prime factorization of 69753 and 69768. After we will calculate the factors of 69753 and 69768 and find the biggest common factor number .

Step-1: Prime Factorization of 69753

Prime factors of 69753 are 3, 23251. Prime factorization of 69753 in exponential form is:

69753 = 3¹ × 23251¹

Step-2: Prime Factorization of 69768

Prime factors of 69768 are 2, 3, 17, 19. Prime factorization of 69768 in exponential form is:

69768 = 2³ × 3³ × 17¹ × 19¹

Step-3: Factors of 69753

List of positive integer factors of 69753 that divides 69753 without a remainder.

1, 3, 23251

Step-4: Factors of 69768

List of positive integer factors of 69768 that divides 69753 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 19, 24, 27, 34, 36, 38, 51, 54, 57, 68, 72, 76, 102, 108, 114, 136, 152, 153, 171, 204, 216, 228, 306, 323, 342, 408, 456, 459, 513, 612, 646, 684, 918, 969, 1026, 1224, 1292, 1368, 1836, 1938, 2052, 2584, 2907, 3672, 3876, 4104, 5814, 7752, 8721, 11628, 17442, 23256, 34884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69753 and 69768. The biggest common factor number is the GCF number.
So the greatest common factor 69753 and 69768 is 3.

Also check out the Least Common Multiple of 69753 and 69768