What is the Greatest Common Factor of 25009 and 25029?
Greatest common factor (GCF) of 25009 and 25029 is 1.
GCF(25009,25029) = 1
We will now calculate the prime factors of 25009 and 25029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25009 and 25029.
How to find the GCF of 25009 and 25029?
We will first find the prime factorization of 25009 and 25029. After we will calculate the factors of 25009 and 25029 and find the biggest common factor number .
Step-1: Prime Factorization of 25009
Prime factors of 25009 are 89, 281. Prime factorization of 25009 in exponential form is:
25009 = 891 × 2811
Step-2: Prime Factorization of 25029
Prime factors of 25029 are 3, 103. Prime factorization of 25029 in exponential form is:
25029 = 35 × 1031
Step-3: Factors of 25009
List of positive integer factors of 25009 that divides 25009 without a remainder.
1, 89, 281
Step-4: Factors of 25029
List of positive integer factors of 25029 that divides 25009 without a remainder.
1, 3, 9, 27, 81, 103, 243, 309, 927, 2781, 8343
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25009 and 25029. The biggest common factor number is the GCF number.
So the greatest common factor 25009 and 25029 is 1.
Also check out the Least Common Multiple of 25009 and 25029
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