What is the Greatest Common Factor of 33442 and 33454?
Greatest common factor (GCF) of 33442 and 33454 is 2.
GCF(33442,33454) = 2
We will now calculate the prime factors of 33442 and 33454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33442 and 33454.
How to find the GCF of 33442 and 33454?
We will first find the prime factorization of 33442 and 33454. After we will calculate the factors of 33442 and 33454 and find the biggest common factor number .
Step-1: Prime Factorization of 33442
Prime factors of 33442 are 2, 23, 727. Prime factorization of 33442 in exponential form is:
33442 = 21 × 231 × 7271
Step-2: Prime Factorization of 33454
Prime factors of 33454 are 2, 43, 389. Prime factorization of 33454 in exponential form is:
33454 = 21 × 431 × 3891
Step-3: Factors of 33442
List of positive integer factors of 33442 that divides 33442 without a remainder.
1, 2, 23, 46, 727, 1454, 16721
Step-4: Factors of 33454
List of positive integer factors of 33454 that divides 33442 without a remainder.
1, 2, 43, 86, 389, 778, 16727
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33442 and 33454. The biggest common factor number is the GCF number.
So the greatest common factor 33442 and 33454 is 2.
Also check out the Least Common Multiple of 33442 and 33454
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