What is the Greatest Common Factor of 73984 and 73993?

Greatest common factor (GCF) of 73984 and 73993 is 1.

GCF(73984,73993) = 1

We will now calculate the prime factors of 73984 and 73993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73984 and 73993.

How to find the GCF of 73984 and 73993?

We will first find the prime factorization of 73984 and 73993. After we will calculate the factors of 73984 and 73993 and find the biggest common factor number .

Step-1: Prime Factorization of 73984

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

73984 = 2⁸ × 17²

Step-2: Prime Factorization of 73993

Prime factors of 73993 are 61, 1213. Prime factorization of 73993 in exponential form is:

73993 = 61¹ × 1213¹

Step-3: Factors of 73984

List of positive integer factors of 73984 that divides 73984 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

Step-4: Factors of 73993

List of positive integer factors of 73993 that divides 73984 without a remainder.

1, 61, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73984 and 73993. The biggest common factor number is the GCF number.
So the greatest common factor 73984 and 73993 is 1.

Also check out the Least Common Multiple of 73984 and 73993