What is the Greatest Common Factor of 69768 and 69788?

Greatest common factor (GCF) of 69768 and 69788 is 4.

GCF(69768,69788) = 4

We will now calculate the prime factors of 69768 and 69788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69768 and 69788.

How to find the GCF of 69768 and 69788?

We will first find the prime factorization of 69768 and 69788. After we will calculate the factors of 69768 and 69788 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 69788

Prime factors of 69788 are 2, 73, 239. Prime factorization of 69788 in exponential form is:

69788 = 2² × 73¹ × 239¹

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 69788

List of positive integer factors of 69788 that divides 69768 without a remainder.

1, 2, 4, 73, 146, 239, 292, 478, 956, 17447, 34894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69768 and 69788. The biggest common factor number is the GCF number.
So the greatest common factor 69768 and 69788 is 4.

Also check out the Least Common Multiple of 69768 and 69788