What is the Greatest Common Factor of 61152 and 61162?

Greatest common factor (GCF) of 61152 and 61162 is 2.

GCF(61152,61162) = 2

We will now calculate the prime factors of 61152 and 61162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61152 and 61162.

How to find the GCF of 61152 and 61162?

We will first find the prime factorization of 61152 and 61162. After we will calculate the factors of 61152 and 61162 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 61162

Prime factors of 61162 are 2, 53, 577. Prime factorization of 61162 in exponential form is:

61162 = 2¹ × 53¹ × 577¹

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 61162

List of positive integer factors of 61162 that divides 61152 without a remainder.

1, 2, 53, 106, 577, 1154, 30581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61152 and 61162. The biggest common factor number is the GCF number.
So the greatest common factor 61152 and 61162 is 2.

Also check out the Least Common Multiple of 61152 and 61162