What is the Greatest Common Factor of 61133 and 61152?

Greatest common factor (GCF) of 61133 and 61152 is 1.

GCF(61133,61152) = 1

We will now calculate the prime factors of 61133 and 61152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61133 and 61152.

How to find the GCF of 61133 and 61152?

We will first find the prime factorization of 61133 and 61152. After we will calculate the factors of 61133 and 61152 and find the biggest common factor number .

Step-1: Prime Factorization of 61133

Prime factors of 61133 are 113, 541. Prime factorization of 61133 in exponential form is:

61133 = 113¹ × 541¹

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 61133

List of positive integer factors of 61133 that divides 61133 without a remainder.

1, 113, 541

Step-4: Factors of 61152

List of positive integer factors of 61152 that divides 61133 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 61133 and 61152. The biggest common factor number is the GCF number.
So the greatest common factor 61133 and 61152 is 1.

Also check out the Least Common Multiple of 61133 and 61152