What is the Greatest Common Factor of 4893 and 4907?

Greatest common factor (GCF) of 4893 and 4907 is 7.

GCF(4893,4907) = 7

We will now calculate the prime factors of 4893 and 4907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4893 and 4907.

How to find the GCF of 4893 and 4907?

We will first find the prime factorization of 4893 and 4907. After we will calculate the factors of 4893 and 4907 and find the biggest common factor number .

Step-1: Prime Factorization of 4893

Prime factors of 4893 are 3, 7, 233. Prime factorization of 4893 in exponential form is:

4893 = 3¹ × 7¹ × 233¹

Step-2: Prime Factorization of 4907

Prime factors of 4907 are 7, 701. Prime factorization of 4907 in exponential form is:

4907 = 7¹ × 701¹

Step-3: Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1, 3, 7, 21, 233, 699, 1631

Step-4: Factors of 4907

List of positive integer factors of 4907 that divides 4893 without a remainder.

1, 7, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4893 and 4907. The biggest common factor number is the GCF number.
So the greatest common factor 4893 and 4907 is 7.

Also check out the Least Common Multiple of 4893 and 4907