What is the Greatest Common Factor of 4918 and 4936?

Greatest common factor (GCF) of 4918 and 4936 is 2.

GCF(4918,4936) = 2

We will now calculate the prime factors of 4918 and 4936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4918 and 4936.

How to find the GCF of 4918 and 4936?

We will first find the prime factorization of 4918 and 4936. After we will calculate the factors of 4918 and 4936 and find the biggest common factor number .

Step-1: Prime Factorization of 4918

Prime factors of 4918 are 2, 2459. Prime factorization of 4918 in exponential form is:

4918 = 2¹ × 2459¹

Step-2: Prime Factorization of 4936

Prime factors of 4936 are 2, 617. Prime factorization of 4936 in exponential form is:

4936 = 2³ × 617¹

Step-3: Factors of 4918

List of positive integer factors of 4918 that divides 4918 without a remainder.

1, 2, 2459

Step-4: Factors of 4936

List of positive integer factors of 4936 that divides 4918 without a remainder.

1, 2, 4, 8, 617, 1234, 2468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4918 and 4936. The biggest common factor number is the GCF number.
So the greatest common factor 4918 and 4936 is 2.

Also check out the Least Common Multiple of 4918 and 4936