What is the Greatest Common Factor of 73980 and 73984?

Greatest common factor (GCF) of 73980 and 73984 is 4.

GCF(73980,73984) = 4

We will now calculate the prime factors of 73980 and 73984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73980 and 73984.

How to find the GCF of 73980 and 73984?

We will first find the prime factorization of 73980 and 73984. After we will calculate the factors of 73980 and 73984 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 73984

Prime factors of 73984 are 2, 17. Prime factorization of 73984 in exponential form is:

73984 = 2⁸ × 17²

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 73984

List of positive integer factors of 73984 that divides 73980 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 289, 544, 578, 1088, 1156, 2176, 2312, 4352, 4624, 9248, 18496, 36992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73980 and 73984. The biggest common factor number is the GCF number.
So the greatest common factor 73980 and 73984 is 4.

Also check out the Least Common Multiple of 73980 and 73984