What is the Greatest Common Factor of 25790 and 25810?
Greatest common factor (GCF) of 25790 and 25810 is 10.
GCF(25790,25810) = 10
We will now calculate the prime factors of 25790 and 25810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25790 and 25810.
How to find the GCF of 25790 and 25810?
We will first find the prime factorization of 25790 and 25810. After we will calculate the factors of 25790 and 25810 and find the biggest common factor number .
Step-1: Prime Factorization of 25790
Prime factors of 25790 are 2, 5, 2579. Prime factorization of 25790 in exponential form is:
25790 = 21 × 51 × 25791
Step-2: Prime Factorization of 25810
Prime factors of 25810 are 2, 5, 29, 89. Prime factorization of 25810 in exponential form is:
25810 = 21 × 51 × 291 × 891
Step-3: Factors of 25790
List of positive integer factors of 25790 that divides 25790 without a remainder.
1, 2, 5, 10, 2579, 5158, 12895
Step-4: Factors of 25810
List of positive integer factors of 25810 that divides 25790 without a remainder.
1, 2, 5, 10, 29, 58, 89, 145, 178, 290, 445, 890, 2581, 5162, 12905
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25790 and 25810. The biggest common factor number is the GCF number.
So the greatest common factor 25790 and 25810 is 10.
Also check out the Least Common Multiple of 25790 and 25810
Related Greatest Common Factors of 25790
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Related Greatest Common Factors of 25810
- GCF of 25810 and 25814
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