What is the Greatest Common Factor of 32944 and 32958?
Greatest common factor (GCF) of 32944 and 32958 is 2.
GCF(32944,32958) = 2
We will now calculate the prime factors of 32944 and 32958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32944 and 32958.
How to find the GCF of 32944 and 32958?
We will first find the prime factorization of 32944 and 32958. After we will calculate the factors of 32944 and 32958 and find the biggest common factor number .
Step-1: Prime Factorization of 32944
Prime factors of 32944 are 2, 29, 71. Prime factorization of 32944 in exponential form is:
32944 = 24 × 291 × 711
Step-2: Prime Factorization of 32958
Prime factors of 32958 are 2, 3, 1831. Prime factorization of 32958 in exponential form is:
32958 = 21 × 32 × 18311
Step-3: Factors of 32944
List of positive integer factors of 32944 that divides 32944 without a remainder.
1, 2, 4, 8, 16, 29, 58, 71, 116, 142, 232, 284, 464, 568, 1136, 2059, 4118, 8236, 16472
Step-4: Factors of 32958
List of positive integer factors of 32958 that divides 32944 without a remainder.
1, 2, 3, 6, 9, 18, 1831, 3662, 5493, 10986, 16479
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32944 and 32958. The biggest common factor number is the GCF number.
So the greatest common factor 32944 and 32958 is 2.
Also check out the Least Common Multiple of 32944 and 32958
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