What is the Greatest Common Factor of 71904 and 71918?

Greatest common factor (GCF) of 71904 and 71918 is 14.

GCF(71904,71918) = 14

We will now calculate the prime factors of 71904 and 71918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71904 and 71918.

How to find the GCF of 71904 and 71918?

We will first find the prime factorization of 71904 and 71918. After we will calculate the factors of 71904 and 71918 and find the biggest common factor number .

Step-1: Prime Factorization of 71904

Prime factors of 71904 are 2, 3, 7, 107. Prime factorization of 71904 in exponential form is:

71904 = 2⁵ × 3¹ × 7¹ × 107¹

Step-2: Prime Factorization of 71918

Prime factors of 71918 are 2, 7, 11, 467. Prime factorization of 71918 in exponential form is:

71918 = 2¹ × 7¹ × 11¹ × 467¹

Step-3: Factors of 71904

List of positive integer factors of 71904 that divides 71904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 107, 112, 168, 214, 224, 321, 336, 428, 642, 672, 749, 856, 1284, 1498, 1712, 2247, 2568, 2996, 3424, 4494, 5136, 5992, 8988, 10272, 11984, 17976, 23968, 35952

Step-4: Factors of 71918

List of positive integer factors of 71918 that divides 71904 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 467, 934, 3269, 5137, 6538, 10274, 35959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71904 and 71918. The biggest common factor number is the GCF number.
So the greatest common factor 71904 and 71918 is 14.

Also check out the Least Common Multiple of 71904 and 71918