What is the Greatest Common Factor of 71484 and 71504?

Greatest common factor (GCF) of 71484 and 71504 is 4.

GCF(71484,71504) = 4

We will now calculate the prime factors of 71484 and 71504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71484 and 71504.

How to find the GCF of 71484 and 71504?

We will first find the prime factorization of 71484 and 71504. After we will calculate the factors of 71484 and 71504 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 71504

Prime factors of 71504 are 2, 41, 109. Prime factorization of 71504 in exponential form is:

71504 = 2⁴ × 41¹ × 109¹

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 71504

List of positive integer factors of 71504 that divides 71484 without a remainder.

1, 2, 4, 8, 16, 41, 82, 109, 164, 218, 328, 436, 656, 872, 1744, 4469, 8938, 17876, 35752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71484 and 71504. The biggest common factor number is the GCF number.
So the greatest common factor 71484 and 71504 is 4.

Also check out the Least Common Multiple of 71484 and 71504