What is the Greatest Common Factor of 73501 and 73506?

Greatest common factor (GCF) of 73501 and 73506 is 1.

GCF(73501,73506) = 1

We will now calculate the prime factors of 73501 and 73506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73501 and 73506.

How to find the GCF of 73501 and 73506?

We will first find the prime factorization of 73501 and 73506. After we will calculate the factors of 73501 and 73506 and find the biggest common factor number .

Step-1: Prime Factorization of 73501

Prime factors of 73501 are 31, 2371. Prime factorization of 73501 in exponential form is:

73501 = 31¹ × 2371¹

Step-2: Prime Factorization of 73506

Prime factors of 73506 are 2, 3, 12251. Prime factorization of 73506 in exponential form is:

73506 = 2¹ × 3¹ × 12251¹

Step-3: Factors of 73501

List of positive integer factors of 73501 that divides 73501 without a remainder.

1, 31, 2371

Step-4: Factors of 73506

List of positive integer factors of 73506 that divides 73501 without a remainder.

1, 2, 3, 6, 12251, 24502, 36753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73501 and 73506. The biggest common factor number is the GCF number.
So the greatest common factor 73501 and 73506 is 1.

Also check out the Least Common Multiple of 73501 and 73506