What is the Greatest Common Factor of 26689 and 26694?
Greatest common factor (GCF) of 26689 and 26694 is 1.
GCF(26689,26694) = 1
We will now calculate the prime factors of 26689 and 26694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26689 and 26694.
How to find the GCF of 26689 and 26694?
We will first find the prime factorization of 26689 and 26694. After we will calculate the factors of 26689 and 26694 and find the biggest common factor number .
Step-1: Prime Factorization of 26689
Prime factors of 26689 are 13, 2053. Prime factorization of 26689 in exponential form is:
26689 = 131 × 20531
Step-2: Prime Factorization of 26694
Prime factors of 26694 are 2, 3, 1483. Prime factorization of 26694 in exponential form is:
26694 = 21 × 32 × 14831
Step-3: Factors of 26689
List of positive integer factors of 26689 that divides 26689 without a remainder.
1, 13, 2053
Step-4: Factors of 26694
List of positive integer factors of 26694 that divides 26689 without a remainder.
1, 2, 3, 6, 9, 18, 1483, 2966, 4449, 8898, 13347
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26689 and 26694. The biggest common factor number is the GCF number.
So the greatest common factor 26689 and 26694 is 1.
Also check out the Least Common Multiple of 26689 and 26694
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