What is the Greatest Common Factor of 5032 and 5042?

Greatest common factor (GCF) of 5032 and 5042 is 2.

GCF(5032,5042) = 2

We will now calculate the prime factors of 5032 and 5042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5032 and 5042.

How to find the GCF of 5032 and 5042?

We will first find the prime factorization of 5032 and 5042. After we will calculate the factors of 5032 and 5042 and find the biggest common factor number .

Step-1: Prime Factorization of 5032

Prime factors of 5032 are 2, 17, 37. Prime factorization of 5032 in exponential form is:

5032 = 2³ × 17¹ × 37¹

Step-2: Prime Factorization of 5042

Prime factors of 5042 are 2, 2521. Prime factorization of 5042 in exponential form is:

5042 = 2¹ × 2521¹

Step-3: Factors of 5032

List of positive integer factors of 5032 that divides 5032 without a remainder.

1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516

Step-4: Factors of 5042

List of positive integer factors of 5042 that divides 5032 without a remainder.

1, 2, 2521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5032 and 5042. The biggest common factor number is the GCF number.
So the greatest common factor 5032 and 5042 is 2.

Also check out the Least Common Multiple of 5032 and 5042