What is the Greatest Common Factor of 71120 and 71127?

Greatest common factor (GCF) of 71120 and 71127 is 7.

GCF(71120,71127) = 7

We will now calculate the prime factors of 71120 and 71127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71120 and 71127.

How to find the GCF of 71120 and 71127?

We will first find the prime factorization of 71120 and 71127. After we will calculate the factors of 71120 and 71127 and find the biggest common factor number .

Step-1: Prime Factorization of 71120

Prime factors of 71120 are 2, 5, 7, 127. Prime factorization of 71120 in exponential form is:

71120 = 2⁴ × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 71127

Prime factors of 71127 are 3, 7, 1129. Prime factorization of 71127 in exponential form is:

71127 = 3² × 7¹ × 1129¹

Step-3: Factors of 71120

List of positive integer factors of 71120 that divides 71120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 127, 140, 254, 280, 508, 560, 635, 889, 1016, 1270, 1778, 2032, 2540, 3556, 4445, 5080, 7112, 8890, 10160, 14224, 17780, 35560

Step-4: Factors of 71127

List of positive integer factors of 71127 that divides 71120 without a remainder.

1, 3, 7, 9, 21, 63, 1129, 3387, 7903, 10161, 23709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71120 and 71127. The biggest common factor number is the GCF number.
So the greatest common factor 71120 and 71127 is 7.

Also check out the Least Common Multiple of 71120 and 71127