What is the Greatest Common Factor of 73860 and 73872?

Greatest common factor (GCF) of 73860 and 73872 is 12.

GCF(73860,73872) = 12

We will now calculate the prime factors of 73860 and 73872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73860 and 73872.

How to find the GCF of 73860 and 73872?

We will first find the prime factorization of 73860 and 73872. After we will calculate the factors of 73860 and 73872 and find the biggest common factor number .

Step-1: Prime Factorization of 73860

Prime factors of 73860 are 2, 3, 5, 1231. Prime factorization of 73860 in exponential form is:

73860 = 2² × 3¹ × 5¹ × 1231¹

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 73860

List of positive integer factors of 73860 that divides 73860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1231, 2462, 3693, 4924, 6155, 7386, 12310, 14772, 18465, 24620, 36930

Step-4: Factors of 73872

List of positive integer factors of 73872 that divides 73860 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 73860 and 73872. The biggest common factor number is the GCF number.
So the greatest common factor 73860 and 73872 is 12.

Also check out the Least Common Multiple of 73860 and 73872