What is the Greatest Common Factor of 71312 and 71324?

Greatest common factor (GCF) of 71312 and 71324 is 4.

GCF(71312,71324) = 4

We will now calculate the prime factors of 71312 and 71324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71312 and 71324.

How to find the GCF of 71312 and 71324?

We will first find the prime factorization of 71312 and 71324. After we will calculate the factors of 71312 and 71324 and find the biggest common factor number .

Step-1: Prime Factorization of 71312

Prime factors of 71312 are 2, 4457. Prime factorization of 71312 in exponential form is:

71312 = 2⁴ × 4457¹

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 71312

List of positive integer factors of 71312 that divides 71312 without a remainder.

1, 2, 4, 8, 16, 4457, 8914, 17828, 35656

Step-4: Factors of 71324

List of positive integer factors of 71324 that divides 71312 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 71312 and 71324. The biggest common factor number is the GCF number.
So the greatest common factor 71312 and 71324 is 4.

Also check out the Least Common Multiple of 71312 and 71324