What is the Greatest Common Factor of 3145 and 3164?

Greatest common factor (GCF) of 3145 and 3164 is 1.

GCF(3145,3164) = 1

We will now calculate the prime factors of 3145 and 3164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3145 and 3164.

How to find the GCF of 3145 and 3164?

We will first find the prime factorization of 3145 and 3164. After we will calculate the factors of 3145 and 3164 and find the biggest common factor number .

Step-1: Prime Factorization of 3145

Prime factors of 3145 are 5, 17, 37. Prime factorization of 3145 in exponential form is:

3145 = 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 3164

Prime factors of 3164 are 2, 7, 113. Prime factorization of 3164 in exponential form is:

3164 = 2² × 7¹ × 113¹

Step-3: Factors of 3145

List of positive integer factors of 3145 that divides 3145 without a remainder.

1, 5, 17, 37, 85, 185, 629

Step-4: Factors of 3164

List of positive integer factors of 3164 that divides 3145 without a remainder.

1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3145 and 3164. The biggest common factor number is the GCF number.
So the greatest common factor 3145 and 3164 is 1.

Also check out the Least Common Multiple of 3145 and 3164