What is the Greatest Common Factor of 43769 and 43776?

Greatest common factor (GCF) of 43769 and 43776 is 1.

GCF(43769,43776) = 1

We will now calculate the prime factors of 43769 and 43776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43769 and 43776.

How to find the GCF of 43769 and 43776?

We will first find the prime factorization of 43769 and 43776. After we will calculate the factors of 43769 and 43776 and find the biggest common factor number .

Step-1: Prime Factorization of 43769

Prime factors of 43769 are 11, 23, 173. Prime factorization of 43769 in exponential form is:

43769 = 11¹ × 23¹ × 173¹

Step-2: Prime Factorization of 43776

Prime factors of 43776 are 2, 3, 19. Prime factorization of 43776 in exponential form is:

43776 = 2⁸ × 3² × 19¹

Step-3: Factors of 43769

List of positive integer factors of 43769 that divides 43769 without a remainder.

1, 11, 23, 173, 253, 1903, 3979

Step-4: Factors of 43776

List of positive integer factors of 43776 that divides 43769 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 64, 72, 76, 96, 114, 128, 144, 152, 171, 192, 228, 256, 288, 304, 342, 384, 456, 576, 608, 684, 768, 912, 1152, 1216, 1368, 1824, 2304, 2432, 2736, 3648, 4864, 5472, 7296, 10944, 14592, 21888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43769 and 43776. The biggest common factor number is the GCF number.
So the greatest common factor 43769 and 43776 is 1.

Also check out the Least Common Multiple of 43769 and 43776