What is the Greatest Common Factor of 26335 and 26348?
Greatest common factor (GCF) of 26335 and 26348 is 1.
GCF(26335,26348) = 1
We will now calculate the prime factors of 26335 and 26348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26335 and 26348.
How to find the GCF of 26335 and 26348?
We will first find the prime factorization of 26335 and 26348. After we will calculate the factors of 26335 and 26348 and find the biggest common factor number .
Step-1: Prime Factorization of 26335
Prime factors of 26335 are 5, 23, 229. Prime factorization of 26335 in exponential form is:
26335 = 51 × 231 × 2291
Step-2: Prime Factorization of 26348
Prime factors of 26348 are 2, 7, 941. Prime factorization of 26348 in exponential form is:
26348 = 22 × 71 × 9411
Step-3: Factors of 26335
List of positive integer factors of 26335 that divides 26335 without a remainder.
1, 5, 23, 115, 229, 1145, 5267
Step-4: Factors of 26348
List of positive integer factors of 26348 that divides 26335 without a remainder.
1, 2, 4, 7, 14, 28, 941, 1882, 3764, 6587, 13174
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26335 and 26348. The biggest common factor number is the GCF number.
So the greatest common factor 26335 and 26348 is 1.
Also check out the Least Common Multiple of 26335 and 26348
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