What is the Greatest Common Factor of 33478 and 33490?
Greatest common factor (GCF) of 33478 and 33490 is 2.
GCF(33478,33490) = 2
We will now calculate the prime factors of 33478 and 33490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33478 and 33490.
How to find the GCF of 33478 and 33490?
We will first find the prime factorization of 33478 and 33490. After we will calculate the factors of 33478 and 33490 and find the biggest common factor number .
Step-1: Prime Factorization of 33478
Prime factors of 33478 are 2, 19, 881. Prime factorization of 33478 in exponential form is:
33478 = 21 × 191 × 8811
Step-2: Prime Factorization of 33490
Prime factors of 33490 are 2, 5, 17, 197. Prime factorization of 33490 in exponential form is:
33490 = 21 × 51 × 171 × 1971
Step-3: Factors of 33478
List of positive integer factors of 33478 that divides 33478 without a remainder.
1, 2, 19, 38, 881, 1762, 16739
Step-4: Factors of 33490
List of positive integer factors of 33490 that divides 33478 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170, 197, 394, 985, 1970, 3349, 6698, 16745
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33478 and 33490. The biggest common factor number is the GCF number.
So the greatest common factor 33478 and 33490 is 2.
Also check out the Least Common Multiple of 33478 and 33490
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