What is the Greatest Common Factor of 32644 and 32660?
Greatest common factor (GCF) of 32644 and 32660 is 4.
GCF(32644,32660) = 4
We will now calculate the prime factors of 32644 and 32660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32644 and 32660.
How to find the GCF of 32644 and 32660?
We will first find the prime factorization of 32644 and 32660. After we will calculate the factors of 32644 and 32660 and find the biggest common factor number .
Step-1: Prime Factorization of 32644
Prime factors of 32644 are 2, 8161. Prime factorization of 32644 in exponential form is:
32644 = 22 × 81611
Step-2: Prime Factorization of 32660
Prime factors of 32660 are 2, 5, 23, 71. Prime factorization of 32660 in exponential form is:
32660 = 22 × 51 × 231 × 711
Step-3: Factors of 32644
List of positive integer factors of 32644 that divides 32644 without a remainder.
1, 2, 4, 8161, 16322
Step-4: Factors of 32660
List of positive integer factors of 32660 that divides 32644 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 71, 92, 115, 142, 230, 284, 355, 460, 710, 1420, 1633, 3266, 6532, 8165, 16330
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32644 and 32660. The biggest common factor number is the GCF number.
So the greatest common factor 32644 and 32660 is 4.
Also check out the Least Common Multiple of 32644 and 32660
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