What is the Greatest Common Factor of 1120 and 1124?

Greatest common factor (GCF) of 1120 and 1124 is 4.

GCF(1120,1124) = 4

We will now calculate the prime factors of 1120 and 1124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1120 and 1124.

How to find the GCF of 1120 and 1124?

We will first find the prime factorization of 1120 and 1124. After we will calculate the factors of 1120 and 1124 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 1124

Prime factors of 1124 are 2, 281. Prime factorization of 1124 in exponential form is:

1124 = 2² × 281¹

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 1124

List of positive integer factors of 1124 that divides 1120 without a remainder.

1, 2, 4, 281, 562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1120 and 1124. The biggest common factor number is the GCF number.
So the greatest common factor 1120 and 1124 is 4.

Also check out the Least Common Multiple of 1120 and 1124