What is the Greatest Common Factor of 32574 and 32594?
Greatest common factor (GCF) of 32574 and 32594 is 2.
GCF(32574,32594) = 2
We will now calculate the prime factors of 32574 and 32594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32574 and 32594.
How to find the GCF of 32574 and 32594?
We will first find the prime factorization of 32574 and 32594. After we will calculate the factors of 32574 and 32594 and find the biggest common factor number .
Step-1: Prime Factorization of 32574
Prime factors of 32574 are 2, 3, 61, 89. Prime factorization of 32574 in exponential form is:
32574 = 21 × 31 × 611 × 891
Step-2: Prime Factorization of 32594
Prime factors of 32594 are 2, 43, 379. Prime factorization of 32594 in exponential form is:
32594 = 21 × 431 × 3791
Step-3: Factors of 32574
List of positive integer factors of 32574 that divides 32574 without a remainder.
1, 2, 3, 6, 61, 89, 122, 178, 183, 267, 366, 534, 5429, 10858, 16287
Step-4: Factors of 32594
List of positive integer factors of 32594 that divides 32574 without a remainder.
1, 2, 43, 86, 379, 758, 16297
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32574 and 32594. The biggest common factor number is the GCF number.
So the greatest common factor 32574 and 32594 is 2.
Also check out the Least Common Multiple of 32574 and 32594
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