What is the Greatest Common Factor of 5026 and 5032?

Greatest common factor (GCF) of 5026 and 5032 is 2.

GCF(5026,5032) = 2

We will now calculate the prime factors of 5026 and 5032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5026 and 5032.

How to find the GCF of 5026 and 5032?

We will first find the prime factorization of 5026 and 5032. After we will calculate the factors of 5026 and 5032 and find the biggest common factor number .

Step-1: Prime Factorization of 5026

Prime factors of 5026 are 2, 7, 359. Prime factorization of 5026 in exponential form is:

5026 = 2¹ × 7¹ × 359¹

Step-2: 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-3: Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1, 2, 7, 14, 359, 718, 2513

Step-4: Factors of 5032

List of positive integer factors of 5032 that divides 5026 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5026 and 5032. The biggest common factor number is the GCF number.
So the greatest common factor 5026 and 5032 is 2.

Also check out the Least Common Multiple of 5026 and 5032