What is the Greatest Common Factor of 7202 and 7212?

Greatest common factor (GCF) of 7202 and 7212 is 2.

GCF(7202,7212) = 2

We will now calculate the prime factors of 7202 and 7212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7202 and 7212.

How to find the GCF of 7202 and 7212?

We will first find the prime factorization of 7202 and 7212. After we will calculate the factors of 7202 and 7212 and find the biggest common factor number .

Step-1: Prime Factorization of 7202

Prime factors of 7202 are 2, 13, 277. Prime factorization of 7202 in exponential form is:

7202 = 2¹ × 13¹ × 277¹

Step-2: Prime Factorization of 7212

Prime factors of 7212 are 2, 3, 601. Prime factorization of 7212 in exponential form is:

7212 = 2² × 3¹ × 601¹

Step-3: Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1, 2, 13, 26, 277, 554, 3601

Step-4: Factors of 7212

List of positive integer factors of 7212 that divides 7202 without a remainder.

1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7202 and 7212. The biggest common factor number is the GCF number.
So the greatest common factor 7202 and 7212 is 2.

Also check out the Least Common Multiple of 7202 and 7212