What is the Greatest Common Factor of 71877 and 71896?

Greatest common factor (GCF) of 71877 and 71896 is 19.

GCF(71877,71896) = 19

We will now calculate the prime factors of 71877 and 71896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71877 and 71896.

How to find the GCF of 71877 and 71896?

We will first find the prime factorization of 71877 and 71896. After we will calculate the factors of 71877 and 71896 and find the biggest common factor number .

Step-1: Prime Factorization of 71877

Prime factors of 71877 are 3, 13, 19, 97. Prime factorization of 71877 in exponential form is:

71877 = 3¹ × 13¹ × 19¹ × 97¹

Step-2: 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-3: Factors of 71877

List of positive integer factors of 71877 that divides 71877 without a remainder.

1, 3, 13, 19, 39, 57, 97, 247, 291, 741, 1261, 1843, 3783, 5529, 23959

Step-4: Factors of 71896

List of positive integer factors of 71896 that divides 71877 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71877 and 71896. The biggest common factor number is the GCF number.
So the greatest common factor 71877 and 71896 is 19.

Also check out the Least Common Multiple of 71877 and 71896