What is the Greatest Common Factor of 73884 and 73898?

Greatest common factor (GCF) of 73884 and 73898 is 2.

GCF(73884,73898) = 2

We will now calculate the prime factors of 73884 and 73898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73884 and 73898.

How to find the GCF of 73884 and 73898?

We will first find the prime factorization of 73884 and 73898. After we will calculate the factors of 73884 and 73898 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 73898

Prime factors of 73898 are 2, 11, 3359. Prime factorization of 73898 in exponential form is:

73898 = 2¹ × 11¹ × 3359¹

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 73898

List of positive integer factors of 73898 that divides 73884 without a remainder.

1, 2, 11, 22, 3359, 6718, 36949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73884 and 73898. The biggest common factor number is the GCF number.
So the greatest common factor 73884 and 73898 is 2.

Also check out the Least Common Multiple of 73884 and 73898