What is the Greatest Common Factor of 61120 and 61125?

Greatest common factor (GCF) of 61120 and 61125 is 5.

GCF(61120,61125) = 5

We will now calculate the prime factors of 61120 and 61125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61120 and 61125.

How to find the GCF of 61120 and 61125?

We will first find the prime factorization of 61120 and 61125. After we will calculate the factors of 61120 and 61125 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61125

Prime factors of 61125 are 3, 5, 163. Prime factorization of 61125 in exponential form is:

61125 = 3¹ × 5³ × 163¹

Step-3: Factors of 61120

List of positive integer factors of 61120 that divides 61120 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

Step-4: Factors of 61125

List of positive integer factors of 61125 that divides 61120 without a remainder.

1, 3, 5, 15, 25, 75, 125, 163, 375, 489, 815, 2445, 4075, 12225, 20375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61120 and 61125. The biggest common factor number is the GCF number.
So the greatest common factor 61120 and 61125 is 5.

Also check out the Least Common Multiple of 61120 and 61125