What is the Greatest Common Factor of 71522 and 71530?

Greatest common factor (GCF) of 71522 and 71530 is 2.

GCF(71522,71530) = 2

We will now calculate the prime factors of 71522 and 71530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71522 and 71530.

How to find the GCF of 71522 and 71530?

We will first find the prime factorization of 71522 and 71530. After we will calculate the factors of 71522 and 71530 and find the biggest common factor number .

Step-1: Prime Factorization of 71522

Prime factors of 71522 are 2, 11, 3251. Prime factorization of 71522 in exponential form is:

71522 = 2¹ × 11¹ × 3251¹

Step-2: 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-3: Factors of 71522

List of positive integer factors of 71522 that divides 71522 without a remainder.

1, 2, 11, 22, 3251, 6502, 35761

Step-4: Factors of 71530

List of positive integer factors of 71530 that divides 71522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71522 and 71530. The biggest common factor number is the GCF number.
So the greatest common factor 71522 and 71530 is 2.

Also check out the Least Common Multiple of 71522 and 71530