What is the Greatest Common Factor of 73872 and 73888?

Greatest common factor (GCF) of 73872 and 73888 is 16.

GCF(73872,73888) = 16

We will now calculate the prime factors of 73872 and 73888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73872 and 73888.

How to find the GCF of 73872 and 73888?

We will first find the prime factorization of 73872 and 73888. After we will calculate the factors of 73872 and 73888 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 73888

Prime factors of 73888 are 2, 2309. Prime factorization of 73888 in exponential form is:

73888 = 2⁵ × 2309¹

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 73888

List of positive integer factors of 73888 that divides 73872 without a remainder.

1, 2, 4, 8, 16, 32, 2309, 4618, 9236, 18472, 36944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73872 and 73888. The biggest common factor number is the GCF number.
So the greatest common factor 73872 and 73888 is 16.

Also check out the Least Common Multiple of 73872 and 73888