What is the Greatest Common Factor of 25955 and 25961?
Greatest common factor (GCF) of 25955 and 25961 is 1.
GCF(25955,25961) = 1
We will now calculate the prime factors of 25955 and 25961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25955 and 25961.
How to find the GCF of 25955 and 25961?
We will first find the prime factorization of 25955 and 25961. After we will calculate the factors of 25955 and 25961 and find the biggest common factor number .
Step-1: Prime Factorization of 25955
Prime factors of 25955 are 5, 29, 179. Prime factorization of 25955 in exponential form is:
25955 = 51 × 291 × 1791
Step-2: Prime Factorization of 25961
Prime factors of 25961 are 13, 1997. Prime factorization of 25961 in exponential form is:
25961 = 131 × 19971
Step-3: Factors of 25955
List of positive integer factors of 25955 that divides 25955 without a remainder.
1, 5, 29, 145, 179, 895, 5191
Step-4: Factors of 25961
List of positive integer factors of 25961 that divides 25955 without a remainder.
1, 13, 1997
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25955 and 25961. The biggest common factor number is the GCF number.
So the greatest common factor 25955 and 25961 is 1.
Also check out the Least Common Multiple of 25955 and 25961
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