What is the Greatest Common Factor of 73968 and 73980?

Greatest common factor (GCF) of 73968 and 73980 is 12.

GCF(73968,73980) = 12

We will now calculate the prime factors of 73968 and 73980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73968 and 73980.

How to find the GCF of 73968 and 73980?

We will first find the prime factorization of 73968 and 73980. After we will calculate the factors of 73968 and 73980 and find the biggest common factor number .

Step-1: Prime Factorization of 73968

Prime factors of 73968 are 2, 3, 23, 67. Prime factorization of 73968 in exponential form is:

73968 = 2⁴ × 3¹ × 23¹ × 67¹

Step-2: 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-3: Factors of 73968

List of positive integer factors of 73968 that divides 73968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 67, 69, 92, 134, 138, 184, 201, 268, 276, 368, 402, 536, 552, 804, 1072, 1104, 1541, 1608, 3082, 3216, 4623, 6164, 9246, 12328, 18492, 24656, 36984

Step-4: Factors of 73980

List of positive integer factors of 73980 that divides 73968 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73968 and 73980. The biggest common factor number is the GCF number.
So the greatest common factor 73968 and 73980 is 12.

Also check out the Least Common Multiple of 73968 and 73980