What is the Greatest Common Factor of 26496 and 26507?
Greatest common factor (GCF) of 26496 and 26507 is 1.
GCF(26496,26507) = 1
We will now calculate the prime factors of 26496 and 26507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26496 and 26507.
How to find the GCF of 26496 and 26507?
We will first find the prime factorization of 26496 and 26507. After we will calculate the factors of 26496 and 26507 and find the biggest common factor number .
Step-1: Prime Factorization of 26496
Prime factors of 26496 are 2, 3, 23. Prime factorization of 26496 in exponential form is:
26496 = 27 × 32 × 231
Step-2: Prime Factorization of 26507
Prime factors of 26507 are 13, 2039. Prime factorization of 26507 in exponential form is:
26507 = 131 × 20391
Step-3: Factors of 26496
List of positive integer factors of 26496 that divides 26496 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 128, 138, 144, 184, 192, 207, 276, 288, 368, 384, 414, 552, 576, 736, 828, 1104, 1152, 1472, 1656, 2208, 2944, 3312, 4416, 6624, 8832, 13248
Step-4: Factors of 26507
List of positive integer factors of 26507 that divides 26496 without a remainder.
1, 13, 2039
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26496 and 26507. The biggest common factor number is the GCF number.
So the greatest common factor 26496 and 26507 is 1.
Also check out the Least Common Multiple of 26496 and 26507
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