What is the Greatest Common Factor of 49152 and 49165?

Greatest common factor (GCF) of 49152 and 49165 is 1.

GCF(49152,49165) = 1

We will now calculate the prime factors of 49152 and 49165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49152 and 49165.

How to find the GCF of 49152 and 49165?

We will first find the prime factorization of 49152 and 49165. After we will calculate the factors of 49152 and 49165 and find the biggest common factor number .

Step-1: Prime Factorization of 49152

Prime factors of 49152 are 2, 3. Prime factorization of 49152 in exponential form is:

49152 = 2¹⁴ × 3¹

Step-2: Prime Factorization of 49165

Prime factors of 49165 are 5, 9833. Prime factorization of 49165 in exponential form is:

49165 = 5¹ × 9833¹

Step-3: Factors of 49152

List of positive integer factors of 49152 that divides 49152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 4096, 6144, 8192, 12288, 16384, 24576

Step-4: Factors of 49165

List of positive integer factors of 49165 that divides 49152 without a remainder.

1, 5, 9833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49152 and 49165. The biggest common factor number is the GCF number.
So the greatest common factor 49152 and 49165 is 1.

Also check out the Least Common Multiple of 49152 and 49165