What is the Greatest Common Factor of 71824 and 71842?

Greatest common factor (GCF) of 71824 and 71842 is 2.

GCF(71824,71842) = 2

We will now calculate the prime factors of 71824 and 71842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71824 and 71842.

How to find the GCF of 71824 and 71842?

We will first find the prime factorization of 71824 and 71842. After we will calculate the factors of 71824 and 71842 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 71842

Prime factors of 71842 are 2, 17, 2113. Prime factorization of 71842 in exponential form is:

71842 = 2¹ × 17¹ × 2113¹

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 71842

List of positive integer factors of 71842 that divides 71824 without a remainder.

1, 2, 17, 34, 2113, 4226, 35921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71824 and 71842. The biggest common factor number is the GCF number.
So the greatest common factor 71824 and 71842 is 2.

Also check out the Least Common Multiple of 71824 and 71842