What is the Greatest Common Factor of 74151 and 74171?

Greatest common factor (GCF) of 74151 and 74171 is 1.

GCF(74151,74171) = 1

We will now calculate the prime factors of 74151 and 74171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74151 and 74171.

How to find the GCF of 74151 and 74171?

We will first find the prime factorization of 74151 and 74171. After we will calculate the factors of 74151 and 74171 and find the biggest common factor number .

Step-1: Prime Factorization of 74151

Prime factors of 74151 are 3, 7, 11, 107. Prime factorization of 74151 in exponential form is:

74151 = 3² × 7¹ × 11¹ × 107¹

Step-2: Prime Factorization of 74171

Prime factors of 74171 are 17, 4363. Prime factorization of 74171 in exponential form is:

74171 = 17¹ × 4363¹

Step-3: Factors of 74151

List of positive integer factors of 74151 that divides 74151 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 107, 231, 321, 693, 749, 963, 1177, 2247, 3531, 6741, 8239, 10593, 24717

Step-4: Factors of 74171

List of positive integer factors of 74171 that divides 74151 without a remainder.

1, 17, 4363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74151 and 74171. The biggest common factor number is the GCF number.
So the greatest common factor 74151 and 74171 is 1.

Also check out the Least Common Multiple of 74151 and 74171