What is the Greatest Common Factor of 61088 and 61104?

Greatest common factor (GCF) of 61088 and 61104 is 16.

GCF(61088,61104) = 16

We will now calculate the prime factors of 61088 and 61104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61088 and 61104.

How to find the GCF of 61088 and 61104?

We will first find the prime factorization of 61088 and 61104. After we will calculate the factors of 61088 and 61104 and find the biggest common factor number .

Step-1: Prime Factorization of 61088

Prime factors of 61088 are 2, 23, 83. Prime factorization of 61088 in exponential form is:

61088 = 2⁵ × 23¹ × 83¹

Step-2: 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-3: Factors of 61088

List of positive integer factors of 61088 that divides 61088 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 83, 92, 166, 184, 332, 368, 664, 736, 1328, 1909, 2656, 3818, 7636, 15272, 30544

Step-4: Factors of 61104

List of positive integer factors of 61104 that divides 61088 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61088 and 61104. The biggest common factor number is the GCF number.
So the greatest common factor 61088 and 61104 is 16.

Also check out the Least Common Multiple of 61088 and 61104