What is the Greatest Common Factor of 72530 and 72536?

Greatest common factor (GCF) of 72530 and 72536 is 2.

GCF(72530,72536) = 2

We will now calculate the prime factors of 72530 and 72536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72530 and 72536.

How to find the GCF of 72530 and 72536?

We will first find the prime factorization of 72530 and 72536. After we will calculate the factors of 72530 and 72536 and find the biggest common factor number .

Step-1: Prime Factorization of 72530

Prime factors of 72530 are 2, 5, 7253. Prime factorization of 72530 in exponential form is:

72530 = 2¹ × 5¹ × 7253¹

Step-2: Prime Factorization of 72536

Prime factors of 72536 are 2, 9067. Prime factorization of 72536 in exponential form is:

72536 = 2³ × 9067¹

Step-3: Factors of 72530

List of positive integer factors of 72530 that divides 72530 without a remainder.

1, 2, 5, 10, 7253, 14506, 36265

Step-4: Factors of 72536

List of positive integer factors of 72536 that divides 72530 without a remainder.

1, 2, 4, 8, 9067, 18134, 36268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72530 and 72536. The biggest common factor number is the GCF number.
So the greatest common factor 72530 and 72536 is 2.

Also check out the Least Common Multiple of 72530 and 72536