What is the Greatest Common Factor of 5205 and 5212?

Greatest common factor (GCF) of 5205 and 5212 is 1.

GCF(5205,5212) = 1

We will now calculate the prime factors of 5205 and 5212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5205 and 5212.

How to find the GCF of 5205 and 5212?

We will first find the prime factorization of 5205 and 5212. After we will calculate the factors of 5205 and 5212 and find the biggest common factor number .

Step-1: Prime Factorization of 5205

Prime factors of 5205 are 3, 5, 347. Prime factorization of 5205 in exponential form is:

5205 = 3¹ × 5¹ × 347¹

Step-2: Prime Factorization of 5212

Prime factors of 5212 are 2, 1303. Prime factorization of 5212 in exponential form is:

5212 = 2² × 1303¹

Step-3: Factors of 5205

List of positive integer factors of 5205 that divides 5205 without a remainder.

1, 3, 5, 15, 347, 1041, 1735

Step-4: Factors of 5212

List of positive integer factors of 5212 that divides 5205 without a remainder.

1, 2, 4, 1303, 2606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5205 and 5212. The biggest common factor number is the GCF number.
So the greatest common factor 5205 and 5212 is 1.

Also check out the Least Common Multiple of 5205 and 5212