What is the Greatest Common Factor of 33263 and 33275?
Greatest common factor (GCF) of 33263 and 33275 is 1.
GCF(33263,33275) = 1
We will now calculate the prime factors of 33263 and 33275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33263 and 33275.
How to find the GCF of 33263 and 33275?
We will first find the prime factorization of 33263 and 33275. After we will calculate the factors of 33263 and 33275 and find the biggest common factor number .
Step-1: Prime Factorization of 33263
Prime factors of 33263 are 29, 31, 37. Prime factorization of 33263 in exponential form is:
33263 = 291 × 311 × 371
Step-2: Prime Factorization of 33275
Prime factors of 33275 are 5, 11. Prime factorization of 33275 in exponential form is:
33275 = 52 × 113
Step-3: Factors of 33263
List of positive integer factors of 33263 that divides 33263 without a remainder.
1, 29, 31, 37, 899, 1073, 1147
Step-4: Factors of 33275
List of positive integer factors of 33275 that divides 33263 without a remainder.
1, 5, 11, 25, 55, 121, 275, 605, 1331, 3025, 6655
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33263 and 33275. The biggest common factor number is the GCF number.
So the greatest common factor 33263 and 33275 is 1.
Also check out the Least Common Multiple of 33263 and 33275
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