What is the Greatest Common Factor of 26500 and 26505?
Greatest common factor (GCF) of 26500 and 26505 is 5.
GCF(26500,26505) = 5
We will now calculate the prime factors of 26500 and 26505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26500 and 26505.
How to find the GCF of 26500 and 26505?
We will first find the prime factorization of 26500 and 26505. After we will calculate the factors of 26500 and 26505 and find the biggest common factor number .
Step-1: Prime Factorization of 26500
Prime factors of 26500 are 2, 5, 53. Prime factorization of 26500 in exponential form is:
26500 = 22 × 53 × 531
Step-2: Prime Factorization of 26505
Prime factors of 26505 are 3, 5, 19, 31. Prime factorization of 26505 in exponential form is:
26505 = 32 × 51 × 191 × 311
Step-3: Factors of 26500
List of positive integer factors of 26500 that divides 26500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 125, 212, 250, 265, 500, 530, 1060, 1325, 2650, 5300, 6625, 13250
Step-4: Factors of 26505
List of positive integer factors of 26505 that divides 26500 without a remainder.
1, 3, 5, 9, 15, 19, 31, 45, 57, 93, 95, 155, 171, 279, 285, 465, 589, 855, 1395, 1767, 2945, 5301, 8835
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26500 and 26505. The biggest common factor number is the GCF number.
So the greatest common factor 26500 and 26505 is 5.
Also check out the Least Common Multiple of 26500 and 26505
Related Greatest Common Factors of 26500
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Related Greatest Common Factors of 26505
- GCF of 26505 and 26509
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