What is the Greatest Common Factor of 71904 and 71908?

Greatest common factor (GCF) of 71904 and 71908 is 4.

GCF(71904,71908) = 4

We will now calculate the prime factors of 71904 and 71908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71904 and 71908.

How to find the GCF of 71904 and 71908?

We will first find the prime factorization of 71904 and 71908. After we will calculate the factors of 71904 and 71908 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 71908

Prime factors of 71908 are 2, 17977. Prime factorization of 71908 in exponential form is:

71908 = 2² × 17977¹

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 71908

List of positive integer factors of 71908 that divides 71904 without a remainder.

1, 2, 4, 17977, 35954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71904 and 71908. The biggest common factor number is the GCF number.
So the greatest common factor 71904 and 71908 is 4.

Also check out the Least Common Multiple of 71904 and 71908