What is the Greatest Common Factor of 26325 and 26336?
Greatest common factor (GCF) of 26325 and 26336 is 1.
GCF(26325,26336) = 1
We will now calculate the prime factors of 26325 and 26336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26325 and 26336.
How to find the GCF of 26325 and 26336?
We will first find the prime factorization of 26325 and 26336. After we will calculate the factors of 26325 and 26336 and find the biggest common factor number .
Step-1: Prime Factorization of 26325
Prime factors of 26325 are 3, 5, 13. Prime factorization of 26325 in exponential form is:
26325 = 34 × 52 × 131
Step-2: Prime Factorization of 26336
Prime factors of 26336 are 2, 823. Prime factorization of 26336 in exponential form is:
26336 = 25 × 8231
Step-3: Factors of 26325
List of positive integer factors of 26325 that divides 26325 without a remainder.
1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775
Step-4: Factors of 26336
List of positive integer factors of 26336 that divides 26325 without a remainder.
1, 2, 4, 8, 16, 32, 823, 1646, 3292, 6584, 13168
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26325 and 26336. The biggest common factor number is the GCF number.
So the greatest common factor 26325 and 26336 is 1.
Also check out the Least Common Multiple of 26325 and 26336
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