What is the Greatest Common Factor of 71824 and 71835?

Greatest common factor (GCF) of 71824 and 71835 is 1.

GCF(71824,71835) = 1

We will now calculate the prime factors of 71824 and 71835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71824 and 71835.

How to find the GCF of 71824 and 71835?

We will first find the prime factorization of 71824 and 71835. After we will calculate the factors of 71824 and 71835 and find the biggest common factor number .

Step-1: Prime Factorization of 71824

Prime factors of 71824 are 2, 67. Prime factorization of 71824 in exponential form is:

71824 = 2⁴ × 67²

Step-2: Prime Factorization of 71835

Prime factors of 71835 are 3, 5, 4789. Prime factorization of 71835 in exponential form is:

71835 = 3¹ × 5¹ × 4789¹

Step-3: Factors of 71824

List of positive integer factors of 71824 that divides 71824 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072, 4489, 8978, 17956, 35912

Step-4: Factors of 71835

List of positive integer factors of 71835 that divides 71824 without a remainder.

1, 3, 5, 15, 4789, 14367, 23945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71824 and 71835. The biggest common factor number is the GCF number.
So the greatest common factor 71824 and 71835 is 1.

Also check out the Least Common Multiple of 71824 and 71835