What is the Greatest Common Factor of 71148 and 71159?

Greatest common factor (GCF) of 71148 and 71159 is 11.

GCF(71148,71159) = 11

We will now calculate the prime factors of 71148 and 71159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71148 and 71159.

How to find the GCF of 71148 and 71159?

We will first find the prime factorization of 71148 and 71159. After we will calculate the factors of 71148 and 71159 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71159

Prime factors of 71159 are 11, 6469. Prime factorization of 71159 in exponential form is:

71159 = 11¹ × 6469¹

Step-3: Factors of 71148

List of positive integer factors of 71148 that divides 71148 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

Step-4: Factors of 71159

List of positive integer factors of 71159 that divides 71148 without a remainder.

1, 11, 6469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71148 and 71159. The biggest common factor number is the GCF number.
So the greatest common factor 71148 and 71159 is 11.

Also check out the Least Common Multiple of 71148 and 71159