What is the Greatest Common Factor of 71310 and 71324?

Greatest common factor (GCF) of 71310 and 71324 is 2.

GCF(71310,71324) = 2

We will now calculate the prime factors of 71310 and 71324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71310 and 71324.

How to find the GCF of 71310 and 71324?

We will first find the prime factorization of 71310 and 71324. After we will calculate the factors of 71310 and 71324 and find the biggest common factor number .

Step-1: Prime Factorization of 71310

Prime factors of 71310 are 2, 3, 5, 2377. Prime factorization of 71310 in exponential form is:

71310 = 2¹ × 3¹ × 5¹ × 2377¹

Step-2: Prime Factorization of 71324

Prime factors of 71324 are 2, 11, 1621. Prime factorization of 71324 in exponential form is:

71324 = 2² × 11¹ × 1621¹

Step-3: Factors of 71310

List of positive integer factors of 71310 that divides 71310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655

Step-4: Factors of 71324

List of positive integer factors of 71324 that divides 71310 without a remainder.

1, 2, 4, 11, 22, 44, 1621, 3242, 6484, 17831, 35662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71310 and 71324. The biggest common factor number is the GCF number.
So the greatest common factor 71310 and 71324 is 2.

Also check out the Least Common Multiple of 71310 and 71324