What is the Greatest Common Factor of 71107 and 71120?

Greatest common factor (GCF) of 71107 and 71120 is 1.

GCF(71107,71120) = 1

We will now calculate the prime factors of 71107 and 71120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71107 and 71120.

How to find the GCF of 71107 and 71120?

We will first find the prime factorization of 71107 and 71120. After we will calculate the factors of 71107 and 71120 and find the biggest common factor number .

Step-1: Prime Factorization of 71107

Prime factors of 71107 are 211, 337. Prime factorization of 71107 in exponential form is:

71107 = 211¹ × 337¹

Step-2: 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-3: Factors of 71107

List of positive integer factors of 71107 that divides 71107 without a remainder.

1, 211, 337

Step-4: Factors of 71120

List of positive integer factors of 71120 that divides 71107 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71107 and 71120. The biggest common factor number is the GCF number.
So the greatest common factor 71107 and 71120 is 1.

Also check out the Least Common Multiple of 71107 and 71120