What is the Greatest Common Factor of 25362 and 25377?
Greatest common factor (GCF) of 25362 and 25377 is 3.
GCF(25362,25377) = 3
We will now calculate the prime factors of 25362 and 25377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25362 and 25377.
How to find the GCF of 25362 and 25377?
We will first find the prime factorization of 25362 and 25377. After we will calculate the factors of 25362 and 25377 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 25377
Prime factors of 25377 are 3, 11, 769. Prime factorization of 25377 in exponential form is:
25377 = 31 × 111 × 7691
Step-3: Factors of 25362
List of positive integer factors of 25362 that divides 25362 without a remainder.
1, 2, 3, 6, 9, 18, 1409, 2818, 4227, 8454, 12681
Step-4: Factors of 25377
List of positive integer factors of 25377 that divides 25362 without a remainder.
1, 3, 11, 33, 769, 2307, 8459
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25362 and 25377. The biggest common factor number is the GCF number.
So the greatest common factor 25362 and 25377 is 3.
Also check out the Least Common Multiple of 25362 and 25377
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