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.
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
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