What is the Greatest Common Factor of 61112 and 61120?

Greatest common factor (GCF) of 61112 and 61120 is 8.

GCF(61112,61120) = 8

We will now calculate the prime factors of 61112 and 61120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61112 and 61120.

How to find the GCF of 61112 and 61120?

We will first find the prime factorization of 61112 and 61120. After we will calculate the factors of 61112 and 61120 and find the biggest common factor number .

Step-1: Prime Factorization of 61112

Prime factors of 61112 are 2, 7639. Prime factorization of 61112 in exponential form is:

61112 = 2³ × 7639¹

Step-2: Prime Factorization of 61120

Prime factors of 61120 are 2, 5, 191. Prime factorization of 61120 in exponential form is:

61120 = 2⁶ × 5¹ × 191¹

Step-3: Factors of 61112

List of positive integer factors of 61112 that divides 61112 without a remainder.

1, 2, 4, 8, 7639, 15278, 30556

Step-4: Factors of 61120

List of positive integer factors of 61120 that divides 61112 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 191, 320, 382, 764, 955, 1528, 1910, 3056, 3820, 6112, 7640, 12224, 15280, 30560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61112 and 61120. The biggest common factor number is the GCF number.
So the greatest common factor 61112 and 61120 is 8.

Also check out the Least Common Multiple of 61112 and 61120