What is the Greatest Common Factor of 1120 and 1125?

Greatest common factor (GCF) of 1120 and 1125 is 5.

GCF(1120,1125) = 5

We will now calculate the prime factors of 1120 and 1125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1120 and 1125.

How to find the GCF of 1120 and 1125?

We will first find the prime factorization of 1120 and 1125. After we will calculate the factors of 1120 and 1125 and find the biggest common factor number .

Step-1: Prime Factorization of 1120

Prime factors of 1120 are 2, 5, 7. Prime factorization of 1120 in exponential form is:

1120 = 2⁵ × 5¹ × 7¹

Step-2: Prime Factorization of 1125

Prime factors of 1125 are 3, 5. Prime factorization of 1125 in exponential form is:

1125 = 3² × 5³

Step-3: Factors of 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560

Step-4: Factors of 1125

List of positive integer factors of 1125 that divides 1120 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1120 and 1125. The biggest common factor number is the GCF number.
So the greatest common factor 1120 and 1125 is 5.

Also check out the Least Common Multiple of 1120 and 1125