What is the Greatest Common Factor of 25125 and 25143?
Greatest common factor (GCF) of 25125 and 25143 is 3.
GCF(25125,25143) = 3
We will now calculate the prime factors of 25125 and 25143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25125 and 25143.
How to find the GCF of 25125 and 25143?
We will first find the prime factorization of 25125 and 25143. After we will calculate the factors of 25125 and 25143 and find the biggest common factor number .
Step-1: Prime Factorization of 25125
Prime factors of 25125 are 3, 5, 67. Prime factorization of 25125 in exponential form is:
25125 = 31 × 53 × 671
Step-2: Prime Factorization of 25143
Prime factors of 25143 are 3, 17, 29. Prime factorization of 25143 in exponential form is:
25143 = 31 × 172 × 291
Step-3: Factors of 25125
List of positive integer factors of 25125 that divides 25125 without a remainder.
1, 3, 5, 15, 25, 67, 75, 125, 201, 335, 375, 1005, 1675, 5025, 8375
Step-4: Factors of 25143
List of positive integer factors of 25143 that divides 25125 without a remainder.
1, 3, 17, 29, 51, 87, 289, 493, 867, 1479, 8381
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25125 and 25143. The biggest common factor number is the GCF number.
So the greatest common factor 25125 and 25143 is 3.
Also check out the Least Common Multiple of 25125 and 25143
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