What is the Greatest Common Factor of 73853 and 73872?

Greatest common factor (GCF) of 73853 and 73872 is 19.

GCF(73853,73872) = 19

We will now calculate the prime factors of 73853 and 73872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73853 and 73872.

How to find the GCF of 73853 and 73872?

We will first find the prime factorization of 73853 and 73872. After we will calculate the factors of 73853 and 73872 and find the biggest common factor number .

Step-1: Prime Factorization of 73853

Prime factors of 73853 are 13, 19, 23. Prime factorization of 73853 in exponential form is:

73853 = 13² × 19¹ × 23¹

Step-2: Prime Factorization of 73872

Prime factors of 73872 are 2, 3, 19. Prime factorization of 73872 in exponential form is:

73872 = 2⁴ × 3⁵ × 19¹

Step-3: Factors of 73853

List of positive integer factors of 73853 that divides 73853 without a remainder.

1, 13, 19, 23, 169, 247, 299, 437, 3211, 3887, 5681

Step-4: Factors of 73872

List of positive integer factors of 73872 that divides 73853 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 81, 108, 114, 144, 152, 162, 171, 216, 228, 243, 304, 324, 342, 432, 456, 486, 513, 648, 684, 912, 972, 1026, 1296, 1368, 1539, 1944, 2052, 2736, 3078, 3888, 4104, 4617, 6156, 8208, 9234, 12312, 18468, 24624, 36936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73853 and 73872. The biggest common factor number is the GCF number.
So the greatest common factor 73853 and 73872 is 19.

Also check out the Least Common Multiple of 73853 and 73872