What is the Greatest Common Factor of 71324 and 71335?

Greatest common factor (GCF) of 71324 and 71335 is 11.

GCF(71324,71335) = 11

We will now calculate the prime factors of 71324 and 71335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71324 and 71335.

How to find the GCF of 71324 and 71335?

We will first find the prime factorization of 71324 and 71335. After we will calculate the factors of 71324 and 71335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71335

Prime factors of 71335 are 5, 11, 1297. Prime factorization of 71335 in exponential form is:

71335 = 5¹ × 11¹ × 1297¹

Step-3: Factors of 71324

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

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

Step-4: Factors of 71335

List of positive integer factors of 71335 that divides 71324 without a remainder.

1, 5, 11, 55, 1297, 6485, 14267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71324 and 71335. The biggest common factor number is the GCF number.
So the greatest common factor 71324 and 71335 is 11.

Also check out the Least Common Multiple of 71324 and 71335