What is the Greatest Common Factor of 71535 and 71539?

Greatest common factor (GCF) of 71535 and 71539 is 1.

GCF(71535,71539) = 1

We will now calculate the prime factors of 71535 and 71539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71535 and 71539.

How to find the GCF of 71535 and 71539?

We will first find the prime factorization of 71535 and 71539. After we will calculate the factors of 71535 and 71539 and find the biggest common factor number .

Step-1: Prime Factorization of 71535

Prime factors of 71535 are 3, 5, 19, 251. Prime factorization of 71535 in exponential form is:

71535 = 3¹ × 5¹ × 19¹ × 251¹

Step-2: Prime Factorization of 71539

Prime factors of 71539 are 13, 5503. Prime factorization of 71539 in exponential form is:

71539 = 13¹ × 5503¹

Step-3: Factors of 71535

List of positive integer factors of 71535 that divides 71535 without a remainder.

1, 3, 5, 15, 19, 57, 95, 251, 285, 753, 1255, 3765, 4769, 14307, 23845

Step-4: Factors of 71539

List of positive integer factors of 71539 that divides 71535 without a remainder.

1, 13, 5503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71535 and 71539. The biggest common factor number is the GCF number.
So the greatest common factor 71535 and 71539 is 1.

Also check out the Least Common Multiple of 71535 and 71539