What is the Greatest Common Factor of 71904 and 71916?

Greatest common factor (GCF) of 71904 and 71916 is 12.

GCF(71904,71916) = 12

We will now calculate the prime factors of 71904 and 71916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71904 and 71916.

How to find the GCF of 71904 and 71916?

We will first find the prime factorization of 71904 and 71916. After we will calculate the factors of 71904 and 71916 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 71916

Prime factors of 71916 are 2, 3, 13, 461. Prime factorization of 71916 in exponential form is:

71916 = 2² × 3¹ × 13¹ × 461¹

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 71916

List of positive integer factors of 71916 that divides 71904 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 461, 922, 1383, 1844, 2766, 5532, 5993, 11986, 17979, 23972, 35958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71904 and 71916. The biggest common factor number is the GCF number.
So the greatest common factor 71904 and 71916 is 12.

Also check out the Least Common Multiple of 71904 and 71916