What is the Greatest Common Factor of 3149 and 3164?

Greatest common factor (GCF) of 3149 and 3164 is 1.

GCF(3149,3164) = 1

We will now calculate the prime factors of 3149 and 3164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3149 and 3164.

How to find the GCF of 3149 and 3164?

We will first find the prime factorization of 3149 and 3164. After we will calculate the factors of 3149 and 3164 and find the biggest common factor number .

Step-1: Prime Factorization of 3149

Prime factors of 3149 are 47, 67. Prime factorization of 3149 in exponential form is:

3149 = 47¹ × 67¹

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 3149

List of positive integer factors of 3149 that divides 3149 without a remainder.

1, 47, 67

Step-4: Factors of 3164

List of positive integer factors of 3164 that divides 3149 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 3149 and 3164. The biggest common factor number is the GCF number.
So the greatest common factor 3149 and 3164 is 1.

Also check out the Least Common Multiple of 3149 and 3164