What is the Greatest Common Factor of 71896 and 71914?

Greatest common factor (GCF) of 71896 and 71914 is 2.

GCF(71896,71914) = 2

We will now calculate the prime factors of 71896 and 71914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71896 and 71914.

How to find the GCF of 71896 and 71914?

We will first find the prime factorization of 71896 and 71914. After we will calculate the factors of 71896 and 71914 and find the biggest common factor number .

Step-1: Prime Factorization of 71896

Prime factors of 71896 are 2, 11, 19, 43. Prime factorization of 71896 in exponential form is:

71896 = 2³ × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 71914

Prime factors of 71914 are 2, 41, 877. Prime factorization of 71914 in exponential form is:

71914 = 2¹ × 41¹ × 877¹

Step-3: Factors of 71896

List of positive integer factors of 71896 that divides 71896 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 43, 44, 76, 86, 88, 152, 172, 209, 344, 418, 473, 817, 836, 946, 1634, 1672, 1892, 3268, 3784, 6536, 8987, 17974, 35948

Step-4: Factors of 71914

List of positive integer factors of 71914 that divides 71896 without a remainder.

1, 2, 41, 82, 877, 1754, 35957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71896 and 71914. The biggest common factor number is the GCF number.
So the greatest common factor 71896 and 71914 is 2.

Also check out the Least Common Multiple of 71896 and 71914