What is the Greatest Common Factor of 33435 and 33448?
Greatest common factor (GCF) of 33435 and 33448 is 1.
GCF(33435,33448) = 1
We will now calculate the prime factors of 33435 and 33448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33435 and 33448.
How to find the GCF of 33435 and 33448?
We will first find the prime factorization of 33435 and 33448. After we will calculate the factors of 33435 and 33448 and find the biggest common factor number .
Step-1: Prime Factorization of 33435
Prime factors of 33435 are 3, 5, 743. Prime factorization of 33435 in exponential form is:
33435 = 32 × 51 × 7431
Step-2: Prime Factorization of 33448
Prime factors of 33448 are 2, 37, 113. Prime factorization of 33448 in exponential form is:
33448 = 23 × 371 × 1131
Step-3: Factors of 33435
List of positive integer factors of 33435 that divides 33435 without a remainder.
1, 3, 5, 9, 15, 45, 743, 2229, 3715, 6687, 11145
Step-4: Factors of 33448
List of positive integer factors of 33448 that divides 33435 without a remainder.
1, 2, 4, 8, 37, 74, 113, 148, 226, 296, 452, 904, 4181, 8362, 16724
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33435 and 33448. The biggest common factor number is the GCF number.
So the greatest common factor 33435 and 33448 is 1.
Also check out the Least Common Multiple of 33435 and 33448
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Related Greatest Common Factors of 33448
- GCF of 33448 and 33452
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