What is the Greatest Common Factor of 7203 and 7210?

Greatest common factor (GCF) of 7203 and 7210 is 7.

GCF(7203,7210) = 7

We will now calculate the prime factors of 7203 and 7210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7203 and 7210.

How to find the GCF of 7203 and 7210?

We will first find the prime factorization of 7203 and 7210. After we will calculate the factors of 7203 and 7210 and find the biggest common factor number .

Step-1: Prime Factorization of 7203

Prime factors of 7203 are 3, 7. Prime factorization of 7203 in exponential form is:

7203 = 3¹ × 7⁴

Step-2: Prime Factorization of 7210

Prime factors of 7210 are 2, 5, 7, 103. Prime factorization of 7210 in exponential form is:

7210 = 2¹ × 5¹ × 7¹ × 103¹

Step-3: Factors of 7203

List of positive integer factors of 7203 that divides 7203 without a remainder.

1, 3, 7, 21, 49, 147, 343, 1029, 2401

Step-4: Factors of 7210

List of positive integer factors of 7210 that divides 7203 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7203 and 7210. The biggest common factor number is the GCF number.
So the greatest common factor 7203 and 7210 is 7.

Also check out the Least Common Multiple of 7203 and 7210