What is the Greatest Common Factor of 73562 and 73567?

Greatest common factor (GCF) of 73562 and 73567 is 1.

GCF(73562,73567) = 1

We will now calculate the prime factors of 73562 and 73567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73562 and 73567.

How to find the GCF of 73562 and 73567?

We will first find the prime factorization of 73562 and 73567. After we will calculate the factors of 73562 and 73567 and find the biggest common factor number .

Step-1: Prime Factorization of 73562

Prime factors of 73562 are 2, 36781. Prime factorization of 73562 in exponential form is:

73562 = 2¹ × 36781¹

Step-2: Prime Factorization of 73567

Prime factors of 73567 are 13, 5659. Prime factorization of 73567 in exponential form is:

73567 = 13¹ × 5659¹

Step-3: Factors of 73562

List of positive integer factors of 73562 that divides 73562 without a remainder.

1, 2, 36781

Step-4: Factors of 73567

List of positive integer factors of 73567 that divides 73562 without a remainder.

1, 13, 5659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73562 and 73567. The biggest common factor number is the GCF number.
So the greatest common factor 73562 and 73567 is 1.

Also check out the Least Common Multiple of 73562 and 73567