What is the Greatest Common Factor of 25648 and 25658?
Greatest common factor (GCF) of 25648 and 25658 is 2.
GCF(25648,25658) = 2
We will now calculate the prime factors of 25648 and 25658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25648 and 25658.
How to find the GCF of 25648 and 25658?
We will first find the prime factorization of 25648 and 25658. After we will calculate the factors of 25648 and 25658 and find the biggest common factor number .
Step-1: Prime Factorization of 25648
Prime factors of 25648 are 2, 7, 229. Prime factorization of 25648 in exponential form is:
25648 = 24 × 71 × 2291
Step-2: Prime Factorization of 25658
Prime factors of 25658 are 2, 12829. Prime factorization of 25658 in exponential form is:
25658 = 21 × 128291
Step-3: Factors of 25648
List of positive integer factors of 25648 that divides 25648 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 229, 458, 916, 1603, 1832, 3206, 3664, 6412, 12824
Step-4: Factors of 25658
List of positive integer factors of 25658 that divides 25648 without a remainder.
1, 2, 12829
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25648 and 25658. The biggest common factor number is the GCF number.
So the greatest common factor 25648 and 25658 is 2.
Also check out the Least Common Multiple of 25648 and 25658
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