What is the Greatest Common Factor of 25329 and 25346?
Greatest common factor (GCF) of 25329 and 25346 is 1.
GCF(25329,25346) = 1
We will now calculate the prime factors of 25329 and 25346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25329 and 25346.
How to find the GCF of 25329 and 25346?
We will first find the prime factorization of 25329 and 25346. After we will calculate the factors of 25329 and 25346 and find the biggest common factor number .
Step-1: Prime Factorization of 25329
Prime factors of 25329 are 3, 8443. Prime factorization of 25329 in exponential form is:
25329 = 31 × 84431
Step-2: Prime Factorization of 25346
Prime factors of 25346 are 2, 19, 23, 29. Prime factorization of 25346 in exponential form is:
25346 = 21 × 191 × 231 × 291
Step-3: Factors of 25329
List of positive integer factors of 25329 that divides 25329 without a remainder.
1, 3, 8443
Step-4: Factors of 25346
List of positive integer factors of 25346 that divides 25329 without a remainder.
1, 2, 19, 23, 29, 38, 46, 58, 437, 551, 667, 874, 1102, 1334, 12673
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25329 and 25346. The biggest common factor number is the GCF number.
So the greatest common factor 25329 and 25346 is 1.
Also check out the Least Common Multiple of 25329 and 25346
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