What is the Greatest Common Factor of 42536 and 42554?

Greatest common factor (GCF) of 42536 and 42554 is 2.

GCF(42536,42554) = 2

We will now calculate the prime factors of 42536 and 42554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42536 and 42554.

How to find the GCF of 42536 and 42554?

We will first find the prime factorization of 42536 and 42554. After we will calculate the factors of 42536 and 42554 and find the biggest common factor number .

Step-1: Prime Factorization of 42536

Prime factors of 42536 are 2, 13, 409. Prime factorization of 42536 in exponential form is:

42536 = 2³ × 13¹ × 409¹

Step-2: Prime Factorization of 42554

Prime factors of 42554 are 2, 21277. Prime factorization of 42554 in exponential form is:

42554 = 2¹ × 21277¹

Step-3: Factors of 42536

List of positive integer factors of 42536 that divides 42536 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 409, 818, 1636, 3272, 5317, 10634, 21268

Step-4: Factors of 42554

List of positive integer factors of 42554 that divides 42536 without a remainder.

1, 2, 21277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42536 and 42554. The biggest common factor number is the GCF number.
So the greatest common factor 42536 and 42554 is 2.

Also check out the Least Common Multiple of 42536 and 42554