What is the Greatest Common Factor of 71120 and 71128?

Greatest common factor (GCF) of 71120 and 71128 is 8.

GCF(71120,71128) = 8

We will now calculate the prime factors of 71120 and 71128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71120 and 71128.

How to find the GCF of 71120 and 71128?

We will first find the prime factorization of 71120 and 71128. After we will calculate the factors of 71120 and 71128 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 71128

Prime factors of 71128 are 2, 17, 523. Prime factorization of 71128 in exponential form is:

71128 = 2³ × 17¹ × 523¹

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 71128

List of positive integer factors of 71128 that divides 71120 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 523, 1046, 2092, 4184, 8891, 17782, 35564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71120 and 71128. The biggest common factor number is the GCF number.
So the greatest common factor 71120 and 71128 is 8.

Also check out the Least Common Multiple of 71120 and 71128