What is the Greatest Common Factor of 67151 and 67165?

Greatest common factor (GCF) of 67151 and 67165 is 7.

GCF(67151,67165) = 7

We will now calculate the prime factors of 67151 and 67165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67151 and 67165.

How to find the GCF of 67151 and 67165?

We will first find the prime factorization of 67151 and 67165. After we will calculate the factors of 67151 and 67165 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 67165

Prime factors of 67165 are 5, 7, 19, 101. Prime factorization of 67165 in exponential form is:

67165 = 5¹ × 7¹ × 19¹ × 101¹

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 67165

List of positive integer factors of 67165 that divides 67151 without a remainder.

1, 5, 7, 19, 35, 95, 101, 133, 505, 665, 707, 1919, 3535, 9595, 13433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67151 and 67165. The biggest common factor number is the GCF number.
So the greatest common factor 67151 and 67165 is 7.

Also check out the Least Common Multiple of 67151 and 67165