What is the Greatest Common Factor of 73884 and 73902?

Greatest common factor (GCF) of 73884 and 73902 is 6.

GCF(73884,73902) = 6

We will now calculate the prime factors of 73884 and 73902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73884 and 73902.

How to find the GCF of 73884 and 73902?

We will first find the prime factorization of 73884 and 73902. After we will calculate the factors of 73884 and 73902 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 73902

Prime factors of 73902 are 2, 3, 109, 113. Prime factorization of 73902 in exponential form is:

73902 = 2¹ × 3¹ × 109¹ × 113¹

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 73902

List of positive integer factors of 73902 that divides 73884 without a remainder.

1, 2, 3, 6, 109, 113, 218, 226, 327, 339, 654, 678, 12317, 24634, 36951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73884 and 73902. The biggest common factor number is the GCF number.
So the greatest common factor 73884 and 73902 is 6.

Also check out the Least Common Multiple of 73884 and 73902