What is the Greatest Common Factor of 71120 and 71140?

Greatest common factor (GCF) of 71120 and 71140 is 20.

GCF(71120,71140) = 20

We will now calculate the prime factors of 71120 and 71140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71120 and 71140.

How to find the GCF of 71120 and 71140?

We will first find the prime factorization of 71120 and 71140. After we will calculate the factors of 71120 and 71140 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 71140

Prime factors of 71140 are 2, 5, 3557. Prime factorization of 71140 in exponential form is:

71140 = 2² × 5¹ × 3557¹

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 71140

List of positive integer factors of 71140 that divides 71120 without a remainder.

1, 2, 4, 5, 10, 20, 3557, 7114, 14228, 17785, 35570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71120 and 71140. The biggest common factor number is the GCF number.
So the greatest common factor 71120 and 71140 is 20.

Also check out the Least Common Multiple of 71120 and 71140