What is the Greatest Common Factor of 25055 and 25064?
Greatest common factor (GCF) of 25055 and 25064 is 1.
GCF(25055,25064) = 1
We will now calculate the prime factors of 25055 and 25064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25055 and 25064.
How to find the GCF of 25055 and 25064?
We will first find the prime factorization of 25055 and 25064. After we will calculate the factors of 25055 and 25064 and find the biggest common factor number .
Step-1: Prime Factorization of 25055
Prime factors of 25055 are 5, 5011. Prime factorization of 25055 in exponential form is:
25055 = 51 × 50111
Step-2: Prime Factorization of 25064
Prime factors of 25064 are 2, 13, 241. Prime factorization of 25064 in exponential form is:
25064 = 23 × 131 × 2411
Step-3: Factors of 25055
List of positive integer factors of 25055 that divides 25055 without a remainder.
1, 5, 5011
Step-4: Factors of 25064
List of positive integer factors of 25064 that divides 25055 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104, 241, 482, 964, 1928, 3133, 6266, 12532
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25055 and 25064. The biggest common factor number is the GCF number.
So the greatest common factor 25055 and 25064 is 1.
Also check out the Least Common Multiple of 25055 and 25064
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