What is the Greatest Common Factor of 71188 and 71201?

Greatest common factor (GCF) of 71188 and 71201 is 13.

GCF(71188,71201) = 13

We will now calculate the prime factors of 71188 and 71201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71188 and 71201.

How to find the GCF of 71188 and 71201?

We will first find the prime factorization of 71188 and 71201. After we will calculate the factors of 71188 and 71201 and find the biggest common factor number .

Step-1: Prime Factorization of 71188

Prime factors of 71188 are 2, 13, 37. Prime factorization of 71188 in exponential form is:

71188 = 2² × 13¹ × 37²

Step-2: Prime Factorization of 71201

Prime factors of 71201 are 13, 5477. Prime factorization of 71201 in exponential form is:

71201 = 13¹ × 5477¹

Step-3: Factors of 71188

List of positive integer factors of 71188 that divides 71188 without a remainder.

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1369, 1924, 2738, 5476, 17797, 35594

Step-4: Factors of 71201

List of positive integer factors of 71201 that divides 71188 without a remainder.

1, 13, 5477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71188 and 71201. The biggest common factor number is the GCF number.
So the greatest common factor 71188 and 71201 is 13.

Also check out the Least Common Multiple of 71188 and 71201