What is the Greatest Common Factor of 5014 and 5028?

Greatest common factor (GCF) of 5014 and 5028 is 2.

GCF(5014,5028) = 2

We will now calculate the prime factors of 5014 and 5028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5014 and 5028.

How to find the GCF of 5014 and 5028?

We will first find the prime factorization of 5014 and 5028. After we will calculate the factors of 5014 and 5028 and find the biggest common factor number .

Step-1: Prime Factorization of 5014

Prime factors of 5014 are 2, 23, 109. Prime factorization of 5014 in exponential form is:

5014 = 2¹ × 23¹ × 109¹

Step-2: Prime Factorization of 5028

Prime factors of 5028 are 2, 3, 419. Prime factorization of 5028 in exponential form is:

5028 = 2² × 3¹ × 419¹

Step-3: Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1, 2, 23, 46, 109, 218, 2507

Step-4: Factors of 5028

List of positive integer factors of 5028 that divides 5014 without a remainder.

1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5014 and 5028. The biggest common factor number is the GCF number.
So the greatest common factor 5014 and 5028 is 2.

Also check out the Least Common Multiple of 5014 and 5028