What is the Greatest Common Factor of 25354 and 25362?
Greatest common factor (GCF) of 25354 and 25362 is 2.
GCF(25354,25362) = 2
We will now calculate the prime factors of 25354 and 25362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25354 and 25362.
How to find the GCF of 25354 and 25362?
We will first find the prime factorization of 25354 and 25362. After we will calculate the factors of 25354 and 25362 and find the biggest common factor number .
Step-1: Prime Factorization of 25354
Prime factors of 25354 are 2, 7, 1811. Prime factorization of 25354 in exponential form is:
25354 = 21 × 71 × 18111
Step-2: Prime Factorization of 25362
Prime factors of 25362 are 2, 3, 1409. Prime factorization of 25362 in exponential form is:
25362 = 21 × 32 × 14091
Step-3: Factors of 25354
List of positive integer factors of 25354 that divides 25354 without a remainder.
1, 2, 7, 14, 1811, 3622, 12677
Step-4: Factors of 25362
List of positive integer factors of 25362 that divides 25354 without a remainder.
1, 2, 3, 6, 9, 18, 1409, 2818, 4227, 8454, 12681
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25354 and 25362. The biggest common factor number is the GCF number.
So the greatest common factor 25354 and 25362 is 2.
Also check out the Least Common Multiple of 25354 and 25362
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