What is the Greatest Common Factor of 25650 and 25659?
Greatest common factor (GCF) of 25650 and 25659 is 9.
GCF(25650,25659) = 9
We will now calculate the prime factors of 25650 and 25659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25650 and 25659.
How to find the GCF of 25650 and 25659?
We will first find the prime factorization of 25650 and 25659. After we will calculate the factors of 25650 and 25659 and find the biggest common factor number .
Step-1: Prime Factorization of 25650
Prime factors of 25650 are 2, 3, 5, 19. Prime factorization of 25650 in exponential form is:
25650 = 21 × 33 × 52 × 191
Step-2: Prime Factorization of 25659
Prime factors of 25659 are 3, 2851. Prime factorization of 25659 in exponential form is:
25659 = 32 × 28511
Step-3: Factors of 25650
List of positive integer factors of 25650 that divides 25650 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 27, 30, 38, 45, 50, 54, 57, 75, 90, 95, 114, 135, 150, 171, 190, 225, 270, 285, 342, 450, 475, 513, 570, 675, 855, 950, 1026, 1350, 1425, 1710, 2565, 2850, 4275, 5130, 8550, 12825
Step-4: Factors of 25659
List of positive integer factors of 25659 that divides 25650 without a remainder.
1, 3, 9, 2851, 8553
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25650 and 25659. The biggest common factor number is the GCF number.
So the greatest common factor 25650 and 25659 is 9.
Also check out the Least Common Multiple of 25650 and 25659
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