What is the Greatest Common Factor of 7112 and 7128?

Greatest common factor (GCF) of 7112 and 7128 is 8.

GCF(7112,7128) = 8

We will now calculate the prime factors of 7112 and 7128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7112 and 7128.

How to find the GCF of 7112 and 7128?

We will first find the prime factorization of 7112 and 7128. After we will calculate the factors of 7112 and 7128 and find the biggest common factor number .

Step-1: Prime Factorization of 7112

Prime factors of 7112 are 2, 7, 127. Prime factorization of 7112 in exponential form is:

7112 = 2³ × 7¹ × 127¹

Step-2: Prime Factorization of 7128

Prime factors of 7128 are 2, 3, 11. Prime factorization of 7128 in exponential form is:

7128 = 2³ × 3⁴ × 11¹

Step-3: Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556

Step-4: Factors of 7128

List of positive integer factors of 7128 that divides 7112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7112 and 7128. The biggest common factor number is the GCF number.
So the greatest common factor 7112 and 7128 is 8.

Also check out the Least Common Multiple of 7112 and 7128