What is the Greatest Common Factor of 73980 and 73998?

Greatest common factor (GCF) of 73980 and 73998 is 18.

GCF(73980,73998) = 18

We will now calculate the prime factors of 73980 and 73998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73980 and 73998.

How to find the GCF of 73980 and 73998?

We will first find the prime factorization of 73980 and 73998. After we will calculate the factors of 73980 and 73998 and find the biggest common factor number .

Step-1: Prime Factorization of 73980

Prime factors of 73980 are 2, 3, 5, 137. Prime factorization of 73980 in exponential form is:

73980 = 2² × 3³ × 5¹ × 137¹

Step-2: Prime Factorization of 73998

Prime factors of 73998 are 2, 3, 4111. Prime factorization of 73998 in exponential form is:

73998 = 2¹ × 3² × 4111¹

Step-3: Factors of 73980

List of positive integer factors of 73980 that divides 73980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 137, 180, 270, 274, 411, 540, 548, 685, 822, 1233, 1370, 1644, 2055, 2466, 2740, 3699, 4110, 4932, 6165, 7398, 8220, 12330, 14796, 18495, 24660, 36990

Step-4: Factors of 73998

List of positive integer factors of 73998 that divides 73980 without a remainder.

1, 2, 3, 6, 9, 18, 4111, 8222, 12333, 24666, 36999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73980 and 73998. The biggest common factor number is the GCF number.
So the greatest common factor 73980 and 73998 is 18.

Also check out the Least Common Multiple of 73980 and 73998