What is the Greatest Common Factor of 45405 and 45421?
Greatest common factor (GCF) of 45405 and 45421 is 1.
GCF(45405,45421) = 1
We will now calculate the prime factors of 45405 and 45421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45405 and 45421.
How to find the GCF of 45405 and 45421?
We will first find the prime factorization of 45405 and 45421. After we will calculate the factors of 45405 and 45421 and find the biggest common factor number .
Step-1: Prime Factorization of 45405
Prime factors of 45405 are 3, 5, 1009. Prime factorization of 45405 in exponential form is:
45405 = 32 × 51 × 10091
Step-2: Prime Factorization of 45421
Prime factors of 45421 are 53, 857. Prime factorization of 45421 in exponential form is:
45421 = 531 × 8571
Step-3: Factors of 45405
List of positive integer factors of 45405 that divides 45405 without a remainder.
1, 3, 5, 9, 15, 45, 1009, 3027, 5045, 9081, 15135
Step-4: Factors of 45421
List of positive integer factors of 45421 that divides 45405 without a remainder.
1, 53, 857
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45405 and 45421. The biggest common factor number is the GCF number.
So the greatest common factor 45405 and 45421 is 1.
Also check out the Least Common Multiple of 45405 and 45421
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