What is the Greatest Common Factor of 28625 and 28642?
Greatest common factor (GCF) of 28625 and 28642 is 1.
GCF(28625,28642) = 1
We will now calculate the prime factors of 28625 and 28642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28625 and 28642.
How to find the GCF of 28625 and 28642?
We will first find the prime factorization of 28625 and 28642. After we will calculate the factors of 28625 and 28642 and find the biggest common factor number .
Step-1: Prime Factorization of 28625
Prime factors of 28625 are 5, 229. Prime factorization of 28625 in exponential form is:
28625 = 53 × 2291
Step-2: Prime Factorization of 28642
Prime factors of 28642 are 2, 14321. Prime factorization of 28642 in exponential form is:
28642 = 21 × 143211
Step-3: Factors of 28625
List of positive integer factors of 28625 that divides 28625 without a remainder.
1, 5, 25, 125, 229, 1145, 5725
Step-4: Factors of 28642
List of positive integer factors of 28642 that divides 28625 without a remainder.
1, 2, 14321
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28625 and 28642. The biggest common factor number is the GCF number.
So the greatest common factor 28625 and 28642 is 1.
Also check out the Least Common Multiple of 28625 and 28642
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