What is the Greatest Common Factor of 26134 and 26138?
Greatest common factor (GCF) of 26134 and 26138 is 2.
GCF(26134,26138) = 2
We will now calculate the prime factors of 26134 and 26138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26134 and 26138.
How to find the GCF of 26134 and 26138?
We will first find the prime factorization of 26134 and 26138. After we will calculate the factors of 26134 and 26138 and find the biggest common factor number .
Step-1: Prime Factorization of 26134
Prime factors of 26134 are 2, 73, 179. Prime factorization of 26134 in exponential form is:
26134 = 21 × 731 × 1791
Step-2: Prime Factorization of 26138
Prime factors of 26138 are 2, 7, 1867. Prime factorization of 26138 in exponential form is:
26138 = 21 × 71 × 18671
Step-3: Factors of 26134
List of positive integer factors of 26134 that divides 26134 without a remainder.
1, 2, 73, 146, 179, 358, 13067
Step-4: Factors of 26138
List of positive integer factors of 26138 that divides 26134 without a remainder.
1, 2, 7, 14, 1867, 3734, 13069
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26134 and 26138. The biggest common factor number is the GCF number.
So the greatest common factor 26134 and 26138 is 2.
Also check out the Least Common Multiple of 26134 and 26138
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