What is the Greatest Common Factor of 71522 and 71540?

Greatest common factor (GCF) of 71522 and 71540 is 2.

GCF(71522,71540) = 2

We will now calculate the prime factors of 71522 and 71540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71522 and 71540.

How to find the GCF of 71522 and 71540?

We will first find the prime factorization of 71522 and 71540. After we will calculate the factors of 71522 and 71540 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 71540

Prime factors of 71540 are 2, 5, 7, 73. Prime factorization of 71540 in exponential form is:

71540 = 2² × 5¹ × 7² × 73¹

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 71540

List of positive integer factors of 71540 that divides 71522 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 73, 98, 140, 146, 196, 245, 292, 365, 490, 511, 730, 980, 1022, 1460, 2044, 2555, 3577, 5110, 7154, 10220, 14308, 17885, 35770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71522 and 71540. The biggest common factor number is the GCF number.
So the greatest common factor 71522 and 71540 is 2.

Also check out the Least Common Multiple of 71522 and 71540