What is the Greatest Common Factor of 25000 and 25019?
Greatest common factor (GCF) of 25000 and 25019 is 1.
GCF(25000,25019) = 1
We will now calculate the prime factors of 25000 and 25019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25000 and 25019.
How to find the GCF of 25000 and 25019?
We will first find the prime factorization of 25000 and 25019. After we will calculate the factors of 25000 and 25019 and find the biggest common factor number .
Step-1: Prime Factorization of 25000
Prime factors of 25000 are 2, 5. Prime factorization of 25000 in exponential form is:
25000 = 23 × 55
Step-2: Prime Factorization of 25019
Prime factors of 25019 are 127, 197. Prime factorization of 25019 in exponential form is:
25019 = 1271 × 1971
Step-3: Factors of 25000
List of positive integer factors of 25000 that divides 25000 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 3125, 5000, 6250, 12500
Step-4: Factors of 25019
List of positive integer factors of 25019 that divides 25000 without a remainder.
1, 127, 197
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25000 and 25019. The biggest common factor number is the GCF number.
So the greatest common factor 25000 and 25019 is 1.
Also check out the Least Common Multiple of 25000 and 25019
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