What is the Greatest Common Factor of 71120 and 71134?

Greatest common factor (GCF) of 71120 and 71134 is 14.

GCF(71120,71134) = 14

We will now calculate the prime factors of 71120 and 71134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71120 and 71134.

How to find the GCF of 71120 and 71134?

We will first find the prime factorization of 71120 and 71134. After we will calculate the factors of 71120 and 71134 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 71134

Prime factors of 71134 are 2, 7, 5081. Prime factorization of 71134 in exponential form is:

71134 = 2¹ × 7¹ × 5081¹

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 71134

List of positive integer factors of 71134 that divides 71120 without a remainder.

1, 2, 7, 14, 5081, 10162, 35567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71120 and 71134. The biggest common factor number is the GCF number.
So the greatest common factor 71120 and 71134 is 14.

Also check out the Least Common Multiple of 71120 and 71134