What is the Greatest Common Factor of 73882 and 73900?

Greatest common factor (GCF) of 73882 and 73900 is 2.

GCF(73882,73900) = 2

We will now calculate the prime factors of 73882 and 73900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73882 and 73900.

How to find the GCF of 73882 and 73900?

We will first find the prime factorization of 73882 and 73900. After we will calculate the factors of 73882 and 73900 and find the biggest common factor number .

Step-1: Prime Factorization of 73882

Prime factors of 73882 are 2, 17, 41, 53. Prime factorization of 73882 in exponential form is:

73882 = 2¹ × 17¹ × 41¹ × 53¹

Step-2: Prime Factorization of 73900

Prime factors of 73900 are 2, 5, 739. Prime factorization of 73900 in exponential form is:

73900 = 2² × 5² × 739¹

Step-3: Factors of 73882

List of positive integer factors of 73882 that divides 73882 without a remainder.

1, 2, 17, 34, 41, 53, 82, 106, 697, 901, 1394, 1802, 2173, 4346, 36941

Step-4: Factors of 73900

List of positive integer factors of 73900 that divides 73882 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 739, 1478, 2956, 3695, 7390, 14780, 18475, 36950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73882 and 73900. The biggest common factor number is the GCF number.
So the greatest common factor 73882 and 73900 is 2.

Also check out the Least Common Multiple of 73882 and 73900