What is the Greatest Common Factor of 5332 and 5342?
Greatest common factor (GCF) of 5332 and 5342 is 2.
GCF(5332,5342) = 2
We will now calculate the prime factors of 5332 and 5342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5332 and 5342.
How to find the GCF of 5332 and 5342?
We will first find the prime factorization of 5332 and 5342. After we will calculate the factors of 5332 and 5342 and find the biggest common factor number .
Step-1: Prime Factorization of 5332
Prime factors of 5332 are 2, 31, 43. Prime factorization of 5332 in exponential form is:
5332 = 22 × 311 × 431
Step-2: Prime Factorization of 5342
Prime factors of 5342 are 2, 2671. Prime factorization of 5342 in exponential form is:
5342 = 21 × 26711
Step-3: Factors of 5332
List of positive integer factors of 5332 that divides 5332 without a remainder.
1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666
Step-4: Factors of 5342
List of positive integer factors of 5342 that divides 5332 without a remainder.
1, 2, 2671
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5332 and 5342. The biggest common factor number is the GCF number.
So the greatest common factor 5332 and 5342 is 2.
Also check out the Least Common Multiple of 5332 and 5342
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