What is the Greatest Common Factor of 61104 and 61120?

Greatest common factor (GCF) of 61104 and 61120 is 16.

GCF(61104,61120) = 16

We will now calculate the prime factors of 61104 and 61120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61104 and 61120.

How to find the GCF of 61104 and 61120?

We will first find the prime factorization of 61104 and 61120. After we will calculate the factors of 61104 and 61120 and find the biggest common factor number .

Step-1: Prime Factorization of 61104

Prime factors of 61104 are 2, 3, 19, 67. Prime factorization of 61104 in exponential form is:

61104 = 2⁴ × 3¹ × 19¹ × 67¹

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 61104

List of positive integer factors of 61104 that divides 61104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 67, 76, 114, 134, 152, 201, 228, 268, 304, 402, 456, 536, 804, 912, 1072, 1273, 1608, 2546, 3216, 3819, 5092, 7638, 10184, 15276, 20368, 30552

Step-4: Factors of 61120

List of positive integer factors of 61120 that divides 61104 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 61104 and 61120. The biggest common factor number is the GCF number.
So the greatest common factor 61104 and 61120 is 16.

Also check out the Least Common Multiple of 61104 and 61120