What is the Greatest Common Factor of 61104 and 61113?

Greatest common factor (GCF) of 61104 and 61113 is 3.

GCF(61104,61113) = 3

We will now calculate the prime factors of 61104 and 61113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61104 and 61113.

How to find the GCF of 61104 and 61113?

We will first find the prime factorization of 61104 and 61113. After we will calculate the factors of 61104 and 61113 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 61113

Prime factors of 61113 are 3, 13, 1567. Prime factorization of 61113 in exponential form is:

61113 = 3¹ × 13¹ × 1567¹

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 61113

List of positive integer factors of 61113 that divides 61104 without a remainder.

1, 3, 13, 39, 1567, 4701, 20371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61104 and 61113. The biggest common factor number is the GCF number.
So the greatest common factor 61104 and 61113 is 3.

Also check out the Least Common Multiple of 61104 and 61113