What is the Greatest Common Factor of 71266 and 71276?

Greatest common factor (GCF) of 71266 and 71276 is 2.

GCF(71266,71276) = 2

We will now calculate the prime factors of 71266 and 71276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71266 and 71276.

How to find the GCF of 71266 and 71276?

We will first find the prime factorization of 71266 and 71276. After we will calculate the factors of 71266 and 71276 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 71276

Prime factors of 71276 are 2, 103, 173. Prime factorization of 71276 in exponential form is:

71276 = 2² × 103¹ × 173¹

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 71276

List of positive integer factors of 71276 that divides 71266 without a remainder.

1, 2, 4, 103, 173, 206, 346, 412, 692, 17819, 35638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71266 and 71276. The biggest common factor number is the GCF number.
So the greatest common factor 71266 and 71276 is 2.

Also check out the Least Common Multiple of 71266 and 71276