What is the Greatest Common Factor of 42824 and 42842?

Greatest common factor (GCF) of 42824 and 42842 is 2.

GCF(42824,42842) = 2

We will now calculate the prime factors of 42824 and 42842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42824 and 42842.

How to find the GCF of 42824 and 42842?

We will first find the prime factorization of 42824 and 42842. After we will calculate the factors of 42824 and 42842 and find the biggest common factor number .

Step-1: Prime Factorization of 42824

Prime factors of 42824 are 2, 53, 101. Prime factorization of 42824 in exponential form is:

42824 = 2³ × 53¹ × 101¹

Step-2: Prime Factorization of 42842

Prime factors of 42842 are 2, 31, 691. Prime factorization of 42842 in exponential form is:

42842 = 2¹ × 31¹ × 691¹

Step-3: Factors of 42824

List of positive integer factors of 42824 that divides 42824 without a remainder.

1, 2, 4, 8, 53, 101, 106, 202, 212, 404, 424, 808, 5353, 10706, 21412

Step-4: Factors of 42842

List of positive integer factors of 42842 that divides 42824 without a remainder.

1, 2, 31, 62, 691, 1382, 21421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42824 and 42842. The biggest common factor number is the GCF number.
So the greatest common factor 42824 and 42842 is 2.

Also check out the Least Common Multiple of 42824 and 42842