What is the Greatest Common Factor of 53313 and 53322?
Greatest common factor (GCF) of 53313 and 53322 is 3.
GCF(53313,53322) = 3
We will now calculate the prime factors of 53313 and 53322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53313 and 53322.
How to find the GCF of 53313 and 53322?
We will first find the prime factorization of 53313 and 53322. After we will calculate the factors of 53313 and 53322 and find the biggest common factor number .
Step-1: Prime Factorization of 53313
Prime factors of 53313 are 3, 13, 1367. Prime factorization of 53313 in exponential form is:
53313 = 31 × 131 × 13671
Step-2: Prime Factorization of 53322
Prime factors of 53322 are 2, 3, 8887. Prime factorization of 53322 in exponential form is:
53322 = 21 × 31 × 88871
Step-3: Factors of 53313
List of positive integer factors of 53313 that divides 53313 without a remainder.
1, 3, 13, 39, 1367, 4101, 17771
Step-4: Factors of 53322
List of positive integer factors of 53322 that divides 53313 without a remainder.
1, 2, 3, 6, 8887, 17774, 26661
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53313 and 53322. The biggest common factor number is the GCF number.
So the greatest common factor 53313 and 53322 is 3.
Also check out the Least Common Multiple of 53313 and 53322
Related Greatest Common Factors of 53313
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Related Greatest Common Factors of 53322
- GCF of 53322 and 53326
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