What is the Greatest Common Factor of 4893 and 4900?

Greatest common factor (GCF) of 4893 and 4900 is 7.

GCF(4893,4900) = 7

We will now calculate the prime factors of 4893 and 4900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4893 and 4900.

How to find the GCF of 4893 and 4900?

We will first find the prime factorization of 4893 and 4900. After we will calculate the factors of 4893 and 4900 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 4900

Prime factors of 4900 are 2, 5, 7. Prime factorization of 4900 in exponential form is:

4900 = 2² × 5² × 7²

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 4900

List of positive integer factors of 4900 that divides 4893 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4893 and 4900. The biggest common factor number is the GCF number.
So the greatest common factor 4893 and 4900 is 7.

Also check out the Least Common Multiple of 4893 and 4900