What is the Greatest Common Factor of 71282 and 71294?

Greatest common factor (GCF) of 71282 and 71294 is 2.

GCF(71282,71294) = 2

We will now calculate the prime factors of 71282 and 71294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71282 and 71294.

How to find the GCF of 71282 and 71294?

We will first find the prime factorization of 71282 and 71294. After we will calculate the factors of 71282 and 71294 and find the biggest common factor number .

Step-1: Prime Factorization of 71282

Prime factors of 71282 are 2, 29, 1229. Prime factorization of 71282 in exponential form is:

71282 = 2¹ × 29¹ × 1229¹

Step-2: Prime Factorization of 71294

Prime factors of 71294 are 2, 43, 829. Prime factorization of 71294 in exponential form is:

71294 = 2¹ × 43¹ × 829¹

Step-3: Factors of 71282

List of positive integer factors of 71282 that divides 71282 without a remainder.

1, 2, 29, 58, 1229, 2458, 35641

Step-4: Factors of 71294

List of positive integer factors of 71294 that divides 71282 without a remainder.

1, 2, 43, 86, 829, 1658, 35647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71282 and 71294. The biggest common factor number is the GCF number.
So the greatest common factor 71282 and 71294 is 2.

Also check out the Least Common Multiple of 71282 and 71294