What is the Greatest Common Factor of 61152 and 61163?

Greatest common factor (GCF) of 61152 and 61163 is 1.

GCF(61152,61163) = 1

We will now calculate the prime factors of 61152 and 61163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61152 and 61163.

How to find the GCF of 61152 and 61163?

We will first find the prime factorization of 61152 and 61163. After we will calculate the factors of 61152 and 61163 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 61163

Prime factors of 61163 are 31, 1973. Prime factorization of 61163 in exponential form is:

61163 = 31¹ × 1973¹

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 61163

List of positive integer factors of 61163 that divides 61152 without a remainder.

1, 31, 1973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61152 and 61163. The biggest common factor number is the GCF number.
So the greatest common factor 61152 and 61163 is 1.

Also check out the Least Common Multiple of 61152 and 61163