What is the Greatest Common Factor of 26371 and 26390?
Greatest common factor (GCF) of 26371 and 26390 is 1.
GCF(26371,26390) = 1
We will now calculate the prime factors of 26371 and 26390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26371 and 26390.
How to find the GCF of 26371 and 26390?
We will first find the prime factorization of 26371 and 26390. After we will calculate the factors of 26371 and 26390 and find the biggest common factor number .
Step-1: Prime Factorization of 26371
Prime factors of 26371 are 26371. Prime factorization of 26371 in exponential form is:
26371 = 263711
Step-2: Prime Factorization of 26390
Prime factors of 26390 are 2, 5, 7, 13, 29. Prime factorization of 26390 in exponential form is:
26390 = 21 × 51 × 71 × 131 × 291
Step-3: Factors of 26371
List of positive integer factors of 26371 that divides 26371 without a remainder.
1
Step-4: Factors of 26390
List of positive integer factors of 26390 that divides 26371 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 29, 35, 58, 65, 70, 91, 130, 145, 182, 203, 290, 377, 406, 455, 754, 910, 1015, 1885, 2030, 2639, 3770, 5278, 13195
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26371 and 26390. The biggest common factor number is the GCF number.
So the greatest common factor 26371 and 26390 is 1.
Also check out the Least Common Multiple of 26371 and 26390
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