What is the Greatest Common Factor of 69768 and 69780?

Greatest common factor (GCF) of 69768 and 69780 is 12.

GCF(69768,69780) = 12

We will now calculate the prime factors of 69768 and 69780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69768 and 69780.

How to find the GCF of 69768 and 69780?

We will first find the prime factorization of 69768 and 69780. After we will calculate the factors of 69768 and 69780 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 69780

Prime factors of 69780 are 2, 3, 5, 1163. Prime factorization of 69780 in exponential form is:

69780 = 2² × 3¹ × 5¹ × 1163¹

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 69780

List of positive integer factors of 69780 that divides 69768 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1163, 2326, 3489, 4652, 5815, 6978, 11630, 13956, 17445, 23260, 34890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69768 and 69780. The biggest common factor number is the GCF number.
So the greatest common factor 69768 and 69780 is 12.

Also check out the Least Common Multiple of 69768 and 69780