What is the Greatest Common Factor of 42838 and 42856?

Greatest common factor (GCF) of 42838 and 42856 is 2.

GCF(42838,42856) = 2

We will now calculate the prime factors of 42838 and 42856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42838 and 42856.

How to find the GCF of 42838 and 42856?

We will first find the prime factorization of 42838 and 42856. After we will calculate the factors of 42838 and 42856 and find the biggest common factor number .

Step-1: Prime Factorization of 42838

Prime factors of 42838 are 2, 21419. Prime factorization of 42838 in exponential form is:

42838 = 2¹ × 21419¹

Step-2: Prime Factorization of 42856

Prime factors of 42856 are 2, 11, 487. Prime factorization of 42856 in exponential form is:

42856 = 2³ × 11¹ × 487¹

Step-3: Factors of 42838

List of positive integer factors of 42838 that divides 42838 without a remainder.

1, 2, 21419

Step-4: Factors of 42856

List of positive integer factors of 42856 that divides 42838 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 487, 974, 1948, 3896, 5357, 10714, 21428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42838 and 42856. The biggest common factor number is the GCF number.
So the greatest common factor 42838 and 42856 is 2.

Also check out the Least Common Multiple of 42838 and 42856