What is the Greatest Common Factor of 5265 and 5269?
Greatest common factor (GCF) of 5265 and 5269 is 1.
GCF(5265,5269) = 1
We will now calculate the prime factors of 5265 and 5269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5265 and 5269.
How to find the GCF of 5265 and 5269?
We will first find the prime factorization of 5265 and 5269. After we will calculate the factors of 5265 and 5269 and find the biggest common factor number .
Step-1: Prime Factorization of 5265
Prime factors of 5265 are 3, 5, 13. Prime factorization of 5265 in exponential form is:
5265 = 34 × 51 × 131
Step-2: Prime Factorization of 5269
Prime factors of 5269 are 11, 479. Prime factorization of 5269 in exponential form is:
5269 = 111 × 4791
Step-3: Factors of 5265
List of positive integer factors of 5265 that divides 5265 without a remainder.
1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755
Step-4: Factors of 5269
List of positive integer factors of 5269 that divides 5265 without a remainder.
1, 11, 479
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5265 and 5269. The biggest common factor number is the GCF number.
So the greatest common factor 5265 and 5269 is 1.
Also check out the Least Common Multiple of 5265 and 5269
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