What is the Greatest Common Factor of 61152 and 61167?

Greatest common factor (GCF) of 61152 and 61167 is 3.

GCF(61152,61167) = 3

We will now calculate the prime factors of 61152 and 61167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61152 and 61167.

How to find the GCF of 61152 and 61167?

We will first find the prime factorization of 61152 and 61167. After we will calculate the factors of 61152 and 61167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61167

Prime factors of 61167 are 3, 20389. Prime factorization of 61167 in exponential form is:

61167 = 3¹ × 20389¹

Step-3: Factors of 61152

List of positive integer factors of 61152 that divides 61152 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

Step-4: Factors of 61167

List of positive integer factors of 61167 that divides 61152 without a remainder.

1, 3, 20389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61152 and 61167. The biggest common factor number is the GCF number.
So the greatest common factor 61152 and 61167 is 3.

Also check out the Least Common Multiple of 61152 and 61167