What is the Greatest Common Factor of 61143 and 61152?

Greatest common factor (GCF) of 61143 and 61152 is 3.

GCF(61143,61152) = 3

We will now calculate the prime factors of 61143 and 61152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61143 and 61152.

How to find the GCF of 61143 and 61152?

We will first find the prime factorization of 61143 and 61152. After we will calculate the factors of 61143 and 61152 and find the biggest common factor number .

Step-1: Prime Factorization of 61143

Prime factors of 61143 are 3, 89, 229. Prime factorization of 61143 in exponential form is:

61143 = 3¹ × 89¹ × 229¹

Step-2: Prime Factorization of 61152

Prime factors of 61152 are 2, 3, 7, 13. Prime factorization of 61152 in exponential form is:

61152 = 2⁵ × 3¹ × 7² × 13¹

Step-3: Factors of 61143

List of positive integer factors of 61143 that divides 61143 without a remainder.

1, 3, 89, 229, 267, 687, 20381

Step-4: Factors of 61152

List of positive integer factors of 61152 that divides 61143 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 49, 52, 56, 78, 84, 91, 96, 98, 104, 112, 147, 156, 168, 182, 196, 208, 224, 273, 294, 312, 336, 364, 392, 416, 546, 588, 624, 637, 672, 728, 784, 1092, 1176, 1248, 1274, 1456, 1568, 1911, 2184, 2352, 2548, 2912, 3822, 4368, 4704, 5096, 7644, 8736, 10192, 15288, 20384, 30576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61143 and 61152. The biggest common factor number is the GCF number.
So the greatest common factor 61143 and 61152 is 3.

Also check out the Least Common Multiple of 61143 and 61152