What is the Greatest Common Factor of 71656 and 71666?

Greatest common factor (GCF) of 71656 and 71666 is 2.

GCF(71656,71666) = 2

We will now calculate the prime factors of 71656 and 71666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71656 and 71666.

How to find the GCF of 71656 and 71666?

We will first find the prime factorization of 71656 and 71666. After we will calculate the factors of 71656 and 71666 and find the biggest common factor number .

Step-1: Prime Factorization of 71656

Prime factors of 71656 are 2, 13, 53. Prime factorization of 71656 in exponential form is:

71656 = 2³ × 13² × 53¹

Step-2: Prime Factorization of 71666

Prime factors of 71666 are 2, 7, 5119. Prime factorization of 71666 in exponential form is:

71666 = 2¹ × 7¹ × 5119¹

Step-3: Factors of 71656

List of positive integer factors of 71656 that divides 71656 without a remainder.

1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 169, 212, 338, 424, 676, 689, 1352, 1378, 2756, 5512, 8957, 17914, 35828

Step-4: Factors of 71666

List of positive integer factors of 71666 that divides 71656 without a remainder.

1, 2, 7, 14, 5119, 10238, 35833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71656 and 71666. The biggest common factor number is the GCF number.
So the greatest common factor 71656 and 71666 is 2.

Also check out the Least Common Multiple of 71656 and 71666