What is the Greatest Common Factor of 71904 and 71922?

Greatest common factor (GCF) of 71904 and 71922 is 6.

GCF(71904,71922) = 6

We will now calculate the prime factors of 71904 and 71922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71904 and 71922.

How to find the GCF of 71904 and 71922?

We will first find the prime factorization of 71904 and 71922. After we will calculate the factors of 71904 and 71922 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 71922

Prime factors of 71922 are 2, 3, 11987. Prime factorization of 71922 in exponential form is:

71922 = 2¹ × 3¹ × 11987¹

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 71922

List of positive integer factors of 71922 that divides 71904 without a remainder.

1, 2, 3, 6, 11987, 23974, 35961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71904 and 71922. The biggest common factor number is the GCF number.
So the greatest common factor 71904 and 71922 is 6.

Also check out the Least Common Multiple of 71904 and 71922