What is the Greatest Common Factor of 65259 and 65265?
Greatest common factor (GCF) of 65259 and 65265 is 3.
GCF(65259,65265) = 3
We will now calculate the prime factors of 65259 and 65265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65259 and 65265.
How to find the GCF of 65259 and 65265?
We will first find the prime factorization of 65259 and 65265. After we will calculate the factors of 65259 and 65265 and find the biggest common factor number .
Step-1: Prime Factorization of 65259
Prime factors of 65259 are 3, 2417. Prime factorization of 65259 in exponential form is:
65259 = 33 × 24171
Step-2: Prime Factorization of 65265
Prime factors of 65265 are 3, 5, 19, 229. Prime factorization of 65265 in exponential form is:
65265 = 31 × 51 × 191 × 2291
Step-3: Factors of 65259
List of positive integer factors of 65259 that divides 65259 without a remainder.
1, 3, 9, 27, 2417, 7251, 21753
Step-4: Factors of 65265
List of positive integer factors of 65265 that divides 65259 without a remainder.
1, 3, 5, 15, 19, 57, 95, 229, 285, 687, 1145, 3435, 4351, 13053, 21755
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65259 and 65265. The biggest common factor number is the GCF number.
So the greatest common factor 65259 and 65265 is 3.
Also check out the Least Common Multiple of 65259 and 65265
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