What is the Greatest Common Factor of 42544 and 42562?

Greatest common factor (GCF) of 42544 and 42562 is 2.

GCF(42544,42562) = 2

We will now calculate the prime factors of 42544 and 42562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42544 and 42562.

How to find the GCF of 42544 and 42562?

We will first find the prime factorization of 42544 and 42562. After we will calculate the factors of 42544 and 42562 and find the biggest common factor number .

Step-1: Prime Factorization of 42544

Prime factors of 42544 are 2, 2659. Prime factorization of 42544 in exponential form is:

42544 = 2⁴ × 2659¹

Step-2: Prime Factorization of 42562

Prime factors of 42562 are 2, 13, 1637. Prime factorization of 42562 in exponential form is:

42562 = 2¹ × 13¹ × 1637¹

Step-3: Factors of 42544

List of positive integer factors of 42544 that divides 42544 without a remainder.

1, 2, 4, 8, 16, 2659, 5318, 10636, 21272

Step-4: Factors of 42562

List of positive integer factors of 42562 that divides 42544 without a remainder.

1, 2, 13, 26, 1637, 3274, 21281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42544 and 42562. The biggest common factor number is the GCF number.
So the greatest common factor 42544 and 42562 is 2.

Also check out the Least Common Multiple of 42544 and 42562