What is the Greatest Common Factor of 71139 and 71154?

Greatest common factor (GCF) of 71139 and 71154 is 3.

GCF(71139,71154) = 3

We will now calculate the prime factors of 71139 and 71154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71139 and 71154.

How to find the GCF of 71139 and 71154?

We will first find the prime factorization of 71139 and 71154. After we will calculate the factors of 71139 and 71154 and find the biggest common factor number .

Step-1: Prime Factorization of 71139

Prime factors of 71139 are 3, 23, 1031. Prime factorization of 71139 in exponential form is:

71139 = 3¹ × 23¹ × 1031¹

Step-2: Prime Factorization of 71154

Prime factors of 71154 are 2, 3, 59, 67. Prime factorization of 71154 in exponential form is:

71154 = 2¹ × 3² × 59¹ × 67¹

Step-3: Factors of 71139

List of positive integer factors of 71139 that divides 71139 without a remainder.

1, 3, 23, 69, 1031, 3093, 23713

Step-4: Factors of 71154

List of positive integer factors of 71154 that divides 71139 without a remainder.

1, 2, 3, 6, 9, 18, 59, 67, 118, 134, 177, 201, 354, 402, 531, 603, 1062, 1206, 3953, 7906, 11859, 23718, 35577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71139 and 71154. The biggest common factor number is the GCF number.
So the greatest common factor 71139 and 71154 is 3.

Also check out the Least Common Multiple of 71139 and 71154