What is the Greatest Common Factor of 73892 and 73904?

Greatest common factor (GCF) of 73892 and 73904 is 4.

GCF(73892,73904) = 4

We will now calculate the prime factors of 73892 and 73904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73892 and 73904.

How to find the GCF of 73892 and 73904?

We will first find the prime factorization of 73892 and 73904. After we will calculate the factors of 73892 and 73904 and find the biggest common factor number .

Step-1: Prime Factorization of 73892

Prime factors of 73892 are 2, 7, 13, 29. Prime factorization of 73892 in exponential form is:

73892 = 2² × 7² × 13¹ × 29¹

Step-2: Prime Factorization of 73904

Prime factors of 73904 are 2, 31, 149. Prime factorization of 73904 in exponential form is:

73904 = 2⁴ × 31¹ × 149¹

Step-3: Factors of 73892

List of positive integer factors of 73892 that divides 73892 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 29, 49, 52, 58, 91, 98, 116, 182, 196, 203, 364, 377, 406, 637, 754, 812, 1274, 1421, 1508, 2548, 2639, 2842, 5278, 5684, 10556, 18473, 36946

Step-4: Factors of 73904

List of positive integer factors of 73904 that divides 73892 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 149, 248, 298, 496, 596, 1192, 2384, 4619, 9238, 18476, 36952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73892 and 73904. The biggest common factor number is the GCF number.
So the greatest common factor 73892 and 73904 is 4.

Also check out the Least Common Multiple of 73892 and 73904