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What is the Greatest Common Factor of 53152 and 53163?

Greatest common factor (GCF) of 53152 and 53163 is 11.

GCF(53152,53163) = 11

We will now calculate the prime factors of 53152 and 53163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53152 and 53163.

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How to find the GCF of 53152 and 53163?

We will first find the prime factorization of 53152 and 53163. After we will calculate the factors of 53152 and 53163 and find the biggest common factor number .

Step-1: Prime Factorization of 53152

Prime factors of 53152 are 2, 11, 151. Prime factorization of 53152 in exponential form is:

53152 = 25 × 111 × 1511

Step-2: Prime Factorization of 53163

Prime factors of 53163 are 3, 11, 179. Prime factorization of 53163 in exponential form is:

53163 = 33 × 111 × 1791

Step-3: Factors of 53152

List of positive integer factors of 53152 that divides 53152 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 151, 176, 302, 352, 604, 1208, 1661, 2416, 3322, 4832, 6644, 13288, 26576

Step-4: Factors of 53163

List of positive integer factors of 53163 that divides 53152 without a remainder.

1, 3, 9, 11, 27, 33, 99, 179, 297, 537, 1611, 1969, 4833, 5907, 17721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53152 and 53163. The biggest common factor number is the GCF number.
So the greatest common factor 53152 and 53163 is 11.

Also check out the Least Common Multiple of 53152 and 53163