What is the Greatest Common Factor of 4897 and 4905?

Greatest common factor (GCF) of 4897 and 4905 is 1.

GCF(4897,4905) = 1

We will now calculate the prime factors of 4897 and 4905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4897 and 4905.

How to find the GCF of 4897 and 4905?

We will first find the prime factorization of 4897 and 4905. After we will calculate the factors of 4897 and 4905 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 4905

Prime factors of 4905 are 3, 5, 109. Prime factorization of 4905 in exponential form is:

4905 = 3² × 5¹ × 109¹

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 4905

List of positive integer factors of 4905 that divides 4897 without a remainder.

1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4897 and 4905. The biggest common factor number is the GCF number.
So the greatest common factor 4897 and 4905 is 1.

Also check out the Least Common Multiple of 4897 and 4905