What is the Greatest Common Factor of 71154 and 71172?

Greatest common factor (GCF) of 71154 and 71172 is 18.

GCF(71154,71172) = 18

We will now calculate the prime factors of 71154 and 71172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71154 and 71172.

How to find the GCF of 71154 and 71172?

We will first find the prime factorization of 71154 and 71172. After we will calculate the factors of 71154 and 71172 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71172

Prime factors of 71172 are 2, 3, 659. Prime factorization of 71172 in exponential form is:

71172 = 2² × 3³ × 659¹

Step-3: Factors of 71154

List of positive integer factors of 71154 that divides 71154 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

Step-4: Factors of 71172

List of positive integer factors of 71172 that divides 71154 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 659, 1318, 1977, 2636, 3954, 5931, 7908, 11862, 17793, 23724, 35586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71154 and 71172. The biggest common factor number is the GCF number.
So the greatest common factor 71154 and 71172 is 18.

Also check out the Least Common Multiple of 71154 and 71172