What is the Greatest Common Factor of 61152 and 61172?

Greatest common factor (GCF) of 61152 and 61172 is 4.

GCF(61152,61172) = 4

We will now calculate the prime factors of 61152 and 61172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61152 and 61172.

How to find the GCF of 61152 and 61172?

We will first find the prime factorization of 61152 and 61172. After we will calculate the factors of 61152 and 61172 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 61172

Prime factors of 61172 are 2, 41, 373. Prime factorization of 61172 in exponential form is:

61172 = 2² × 41¹ × 373¹

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 61172

List of positive integer factors of 61172 that divides 61152 without a remainder.

1, 2, 4, 41, 82, 164, 373, 746, 1492, 15293, 30586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61152 and 61172. The biggest common factor number is the GCF number.
So the greatest common factor 61152 and 61172 is 4.

Also check out the Least Common Multiple of 61152 and 61172