What is the Greatest Common Factor of 71530 and 71535?

Greatest common factor (GCF) of 71530 and 71535 is 5.

GCF(71530,71535) = 5

We will now calculate the prime factors of 71530 and 71535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71530 and 71535.

How to find the GCF of 71530 and 71535?

We will first find the prime factorization of 71530 and 71535. After we will calculate the factors of 71530 and 71535 and find the biggest common factor number .

Step-1: Prime Factorization of 71530

Prime factors of 71530 are 2, 5, 23, 311. Prime factorization of 71530 in exponential form is:

71530 = 2¹ × 5¹ × 23¹ × 311¹

Step-2: 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-3: Factors of 71530

List of positive integer factors of 71530 that divides 71530 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 311, 622, 1555, 3110, 7153, 14306, 35765

Step-4: Factors of 71535

List of positive integer factors of 71535 that divides 71530 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71530 and 71535. The biggest common factor number is the GCF number.
So the greatest common factor 71530 and 71535 is 5.

Also check out the Least Common Multiple of 71530 and 71535