What is the Greatest Common Factor of 4897 and 4903?

Greatest common factor (GCF) of 4897 and 4903 is 1.

GCF(4897,4903) = 1

We will now calculate the prime factors of 4897 and 4903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4897 and 4903.

How to find the GCF of 4897 and 4903?

We will first find the prime factorization of 4897 and 4903. After we will calculate the factors of 4897 and 4903 and find the biggest common factor number .

Step-1: Prime Factorization of 4897

Prime factors of 4897 are 59, 83. Prime factorization of 4897 in exponential form is:

4897 = 59¹ × 83¹

Step-2: Prime Factorization of 4903

Prime factors of 4903 are 4903. Prime factorization of 4903 in exponential form is:

4903 = 4903¹

Step-3: Factors of 4897

List of positive integer factors of 4897 that divides 4897 without a remainder.

1, 59, 83

Step-4: Factors of 4903

List of positive integer factors of 4903 that divides 4897 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4897 and 4903. The biggest common factor number is the GCF number.
So the greatest common factor 4897 and 4903 is 1.

Also check out the Least Common Multiple of 4897 and 4903