What is the Greatest Common Factor of 73884 and 73900?

Greatest common factor (GCF) of 73884 and 73900 is 4.

GCF(73884,73900) = 4

We will now calculate the prime factors of 73884 and 73900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73884 and 73900.

How to find the GCF of 73884 and 73900?

We will first find the prime factorization of 73884 and 73900. After we will calculate the factors of 73884 and 73900 and find the biggest common factor number .

Step-1: Prime Factorization of 73884

Prime factors of 73884 are 2, 3, 47, 131. Prime factorization of 73884 in exponential form is:

73884 = 2² × 3¹ × 47¹ × 131¹

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 73884

List of positive integer factors of 73884 that divides 73884 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 131, 141, 188, 262, 282, 393, 524, 564, 786, 1572, 6157, 12314, 18471, 24628, 36942

Step-4: Factors of 73900

List of positive integer factors of 73900 that divides 73884 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 73884 and 73900. The biggest common factor number is the GCF number.
So the greatest common factor 73884 and 73900 is 4.

Also check out the Least Common Multiple of 73884 and 73900