What is the Greatest Common Factor of 73872 and 73891?

Greatest common factor (GCF) of 73872 and 73891 is 19.

GCF(73872,73891) = 19

We will now calculate the prime factors of 73872 and 73891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73872 and 73891.

How to find the GCF of 73872 and 73891?

We will first find the prime factorization of 73872 and 73891. After we will calculate the factors of 73872 and 73891 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73891

Prime factors of 73891 are 19, 3889. Prime factorization of 73891 in exponential form is:

73891 = 19¹ × 3889¹

Step-3: Factors of 73872

List of positive integer factors of 73872 that divides 73872 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

Step-4: Factors of 73891

List of positive integer factors of 73891 that divides 73872 without a remainder.

1, 19, 3889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73872 and 73891. The biggest common factor number is the GCF number.
So the greatest common factor 73872 and 73891 is 19.

Also check out the Least Common Multiple of 73872 and 73891