What is the Greatest Common Factor of 67151 and 67156?

Greatest common factor (GCF) of 67151 and 67156 is 1.

GCF(67151,67156) = 1

We will now calculate the prime factors of 67151 and 67156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67151 and 67156.

How to find the GCF of 67151 and 67156?

We will first find the prime factorization of 67151 and 67156. After we will calculate the factors of 67151 and 67156 and find the biggest common factor number .

Step-1: Prime Factorization of 67151

Prime factors of 67151 are 7, 53, 181. Prime factorization of 67151 in exponential form is:

67151 = 7¹ × 53¹ × 181¹

Step-2: Prime Factorization of 67156

Prime factors of 67156 are 2, 103, 163. Prime factorization of 67156 in exponential form is:

67156 = 2² × 103¹ × 163¹

Step-3: Factors of 67151

List of positive integer factors of 67151 that divides 67151 without a remainder.

1, 7, 53, 181, 371, 1267, 9593

Step-4: Factors of 67156

List of positive integer factors of 67156 that divides 67151 without a remainder.

1, 2, 4, 103, 163, 206, 326, 412, 652, 16789, 33578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67151 and 67156. The biggest common factor number is the GCF number.
So the greatest common factor 67151 and 67156 is 1.

Also check out the Least Common Multiple of 67151 and 67156