What is the Greatest Common Factor of 26115 and 26125?
Greatest common factor (GCF) of 26115 and 26125 is 5.
GCF(26115,26125) = 5
We will now calculate the prime factors of 26115 and 26125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26115 and 26125.
How to find the GCF of 26115 and 26125?
We will first find the prime factorization of 26115 and 26125. After we will calculate the factors of 26115 and 26125 and find the biggest common factor number .
Step-1: Prime Factorization of 26115
Prime factors of 26115 are 3, 5, 1741. Prime factorization of 26115 in exponential form is:
26115 = 31 × 51 × 17411
Step-2: Prime Factorization of 26125
Prime factors of 26125 are 5, 11, 19. Prime factorization of 26125 in exponential form is:
26125 = 53 × 111 × 191
Step-3: Factors of 26115
List of positive integer factors of 26115 that divides 26115 without a remainder.
1, 3, 5, 15, 1741, 5223, 8705
Step-4: Factors of 26125
List of positive integer factors of 26125 that divides 26115 without a remainder.
1, 5, 11, 19, 25, 55, 95, 125, 209, 275, 475, 1045, 1375, 2375, 5225
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26115 and 26125. The biggest common factor number is the GCF number.
So the greatest common factor 26115 and 26125 is 5.
Also check out the Least Common Multiple of 26115 and 26125
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