What is the Greatest Common Factor of 73648 and 73663?

Greatest common factor (GCF) of 73648 and 73663 is 1.

GCF(73648,73663) = 1

We will now calculate the prime factors of 73648 and 73663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73648 and 73663.

How to find the GCF of 73648 and 73663?

We will first find the prime factorization of 73648 and 73663. After we will calculate the factors of 73648 and 73663 and find the biggest common factor number .

Step-1: Prime Factorization of 73648

Prime factors of 73648 are 2, 4603. Prime factorization of 73648 in exponential form is:

73648 = 2⁴ × 4603¹

Step-2: Prime Factorization of 73663

Prime factors of 73663 are 19, 3877. Prime factorization of 73663 in exponential form is:

73663 = 19¹ × 3877¹

Step-3: Factors of 73648

List of positive integer factors of 73648 that divides 73648 without a remainder.

1, 2, 4, 8, 16, 4603, 9206, 18412, 36824

Step-4: Factors of 73663

List of positive integer factors of 73663 that divides 73648 without a remainder.

1, 19, 3877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73648 and 73663. The biggest common factor number is the GCF number.
So the greatest common factor 73648 and 73663 is 1.

Also check out the Least Common Multiple of 73648 and 73663