What is the Greatest Common Factor of 72545 and 72565?

Greatest common factor (GCF) of 72545 and 72565 is 5.

GCF(72545,72565) = 5

We will now calculate the prime factors of 72545 and 72565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72545 and 72565.

How to find the GCF of 72545 and 72565?

We will first find the prime factorization of 72545 and 72565. After we will calculate the factors of 72545 and 72565 and find the biggest common factor number .

Step-1: Prime Factorization of 72545

Prime factors of 72545 are 5, 11, 1319. Prime factorization of 72545 in exponential form is:

72545 = 5¹ × 11¹ × 1319¹

Step-2: Prime Factorization of 72565

Prime factors of 72565 are 5, 23, 631. Prime factorization of 72565 in exponential form is:

72565 = 5¹ × 23¹ × 631¹

Step-3: Factors of 72545

List of positive integer factors of 72545 that divides 72545 without a remainder.

1, 5, 11, 55, 1319, 6595, 14509

Step-4: Factors of 72565

List of positive integer factors of 72565 that divides 72545 without a remainder.

1, 5, 23, 115, 631, 3155, 14513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72545 and 72565. The biggest common factor number is the GCF number.
So the greatest common factor 72545 and 72565 is 5.

Also check out the Least Common Multiple of 72545 and 72565