What is the Greatest Common Factor of 71130 and 71148?

Greatest common factor (GCF) of 71130 and 71148 is 6.

GCF(71130,71148) = 6

We will now calculate the prime factors of 71130 and 71148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71130 and 71148.

How to find the GCF of 71130 and 71148?

We will first find the prime factorization of 71130 and 71148. After we will calculate the factors of 71130 and 71148 and find the biggest common factor number .

Step-1: Prime Factorization of 71130

Prime factors of 71130 are 2, 3, 5, 2371. Prime factorization of 71130 in exponential form is:

71130 = 2¹ × 3¹ × 5¹ × 2371¹

Step-2: Prime Factorization of 71148

Prime factors of 71148 are 2, 3, 7, 11. Prime factorization of 71148 in exponential form is:

71148 = 2² × 3¹ × 7² × 11²

Step-3: Factors of 71130

List of positive integer factors of 71130 that divides 71130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2371, 4742, 7113, 11855, 14226, 23710, 35565

Step-4: Factors of 71148

List of positive integer factors of 71148 that divides 71130 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 121, 132, 147, 154, 196, 231, 242, 294, 308, 363, 462, 484, 539, 588, 726, 847, 924, 1078, 1452, 1617, 1694, 2156, 2541, 3234, 3388, 5082, 5929, 6468, 10164, 11858, 17787, 23716, 35574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71130 and 71148. The biggest common factor number is the GCF number.
So the greatest common factor 71130 and 71148 is 6.

Also check out the Least Common Multiple of 71130 and 71148