What is the Greatest Common Factor of 71266 and 71278?

Greatest common factor (GCF) of 71266 and 71278 is 2.

GCF(71266,71278) = 2

We will now calculate the prime factors of 71266 and 71278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71266 and 71278.

How to find the GCF of 71266 and 71278?

We will first find the prime factorization of 71266 and 71278. After we will calculate the factors of 71266 and 71278 and find the biggest common factor number .

Step-1: Prime Factorization of 71266

Prime factors of 71266 are 2, 13, 2741. Prime factorization of 71266 in exponential form is:

71266 = 2¹ × 13¹ × 2741¹

Step-2: Prime Factorization of 71278

Prime factors of 71278 are 2, 157, 227. Prime factorization of 71278 in exponential form is:

71278 = 2¹ × 157¹ × 227¹

Step-3: Factors of 71266

List of positive integer factors of 71266 that divides 71266 without a remainder.

1, 2, 13, 26, 2741, 5482, 35633

Step-4: Factors of 71278

List of positive integer factors of 71278 that divides 71266 without a remainder.

1, 2, 157, 227, 314, 454, 35639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71266 and 71278. The biggest common factor number is the GCF number.
So the greatest common factor 71266 and 71278 is 2.

Also check out the Least Common Multiple of 71266 and 71278