What is the Greatest Common Factor of 32578 and 32582?
Greatest common factor (GCF) of 32578 and 32582 is 2.
GCF(32578,32582) = 2
We will now calculate the prime factors of 32578 and 32582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32578 and 32582.
How to find the GCF of 32578 and 32582?
We will first find the prime factorization of 32578 and 32582. After we will calculate the factors of 32578 and 32582 and find the biggest common factor number .
Step-1: Prime Factorization of 32578
Prime factors of 32578 are 2, 7, 13, 179. Prime factorization of 32578 in exponential form is:
32578 = 21 × 71 × 131 × 1791
Step-2: Prime Factorization of 32582
Prime factors of 32582 are 2, 11, 1481. Prime factorization of 32582 in exponential form is:
32582 = 21 × 111 × 14811
Step-3: Factors of 32578
List of positive integer factors of 32578 that divides 32578 without a remainder.
1, 2, 7, 13, 14, 26, 91, 179, 182, 358, 1253, 2327, 2506, 4654, 16289
Step-4: Factors of 32582
List of positive integer factors of 32582 that divides 32578 without a remainder.
1, 2, 11, 22, 1481, 2962, 16291
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32578 and 32582. The biggest common factor number is the GCF number.
So the greatest common factor 32578 and 32582 is 2.
Also check out the Least Common Multiple of 32578 and 32582
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