What is the Greatest Common Factor of 69768 and 69785?

Greatest common factor (GCF) of 69768 and 69785 is 17.

GCF(69768,69785) = 17

We will now calculate the prime factors of 69768 and 69785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69768 and 69785.

How to find the GCF of 69768 and 69785?

We will first find the prime factorization of 69768 and 69785. After we will calculate the factors of 69768 and 69785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69785

Prime factors of 69785 are 5, 17, 821. Prime factorization of 69785 in exponential form is:

69785 = 5¹ × 17¹ × 821¹

Step-3: Factors of 69768

List of positive integer factors of 69768 that divides 69768 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

Step-4: Factors of 69785

List of positive integer factors of 69785 that divides 69768 without a remainder.

1, 5, 17, 85, 821, 4105, 13957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69768 and 69785. The biggest common factor number is the GCF number.
So the greatest common factor 69768 and 69785 is 17.

Also check out the Least Common Multiple of 69768 and 69785