What is the Greatest Common Factor of 71484 and 71496?

Greatest common factor (GCF) of 71484 and 71496 is 12.

GCF(71484,71496) = 12

We will now calculate the prime factors of 71484 and 71496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71484 and 71496.

How to find the GCF of 71484 and 71496?

We will first find the prime factorization of 71484 and 71496. After we will calculate the factors of 71484 and 71496 and find the biggest common factor number .

Step-1: Prime Factorization of 71484

Prime factors of 71484 are 2, 3, 7, 23, 37. Prime factorization of 71484 in exponential form is:

71484 = 2² × 3¹ × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 71496

Prime factors of 71496 are 2, 3, 331. Prime factorization of 71496 in exponential form is:

71496 = 2³ × 3³ × 331¹

Step-3: Factors of 71484

List of positive integer factors of 71484 that divides 71484 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 37, 42, 46, 69, 74, 84, 92, 111, 138, 148, 161, 222, 259, 276, 322, 444, 483, 518, 644, 777, 851, 966, 1036, 1554, 1702, 1932, 2553, 3108, 3404, 5106, 5957, 10212, 11914, 17871, 23828, 35742

Step-4: Factors of 71496

List of positive integer factors of 71496 that divides 71484 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 331, 662, 993, 1324, 1986, 2648, 2979, 3972, 5958, 7944, 8937, 11916, 17874, 23832, 35748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71484 and 71496. The biggest common factor number is the GCF number.
So the greatest common factor 71484 and 71496 is 12.

Also check out the Least Common Multiple of 71484 and 71496