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What is the Greatest Common Factor of 48128 and 48147?

Greatest common factor (GCF) of 48128 and 48147 is 1.

GCF(48128,48147) = 1

We will now calculate the prime factors of 48128 and 48147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48128 and 48147.

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How to find the GCF of 48128 and 48147?

We will first find the prime factorization of 48128 and 48147. After we will calculate the factors of 48128 and 48147 and find the biggest common factor number .

Step-1: Prime Factorization of 48128

Prime factors of 48128 are 2, 47. Prime factorization of 48128 in exponential form is:

48128 = 210 × 471

Step-2: Prime Factorization of 48147

Prime factors of 48147 are 3, 11, 1459. Prime factorization of 48147 in exponential form is:

48147 = 31 × 111 × 14591

Step-3: Factors of 48128

List of positive integer factors of 48128 that divides 48128 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1024, 1504, 3008, 6016, 12032, 24064

Step-4: Factors of 48147

List of positive integer factors of 48147 that divides 48128 without a remainder.

1, 3, 11, 33, 1459, 4377, 16049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48128 and 48147. The biggest common factor number is the GCF number.
So the greatest common factor 48128 and 48147 is 1.

Also check out the Least Common Multiple of 48128 and 48147