What is the Greatest Common Factor of 39672 and 39681?
Greatest common factor (GCF) of 39672 and 39681 is 9.
GCF(39672,39681) = 9
We will now calculate the prime factors of 39672 and 39681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39672 and 39681.
How to find the GCF of 39672 and 39681?
We will first find the prime factorization of 39672 and 39681. After we will calculate the factors of 39672 and 39681 and find the biggest common factor number .
Step-1: Prime Factorization of 39672
Prime factors of 39672 are 2, 3, 19, 29. Prime factorization of 39672 in exponential form is:
39672 = 23 × 32 × 191 × 291
Step-2: Prime Factorization of 39681
Prime factors of 39681 are 3, 4409. Prime factorization of 39681 in exponential form is:
39681 = 32 × 44091
Step-3: Factors of 39672
List of positive integer factors of 39672 that divides 39672 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 29, 36, 38, 57, 58, 72, 76, 87, 114, 116, 152, 171, 174, 228, 232, 261, 342, 348, 456, 522, 551, 684, 696, 1044, 1102, 1368, 1653, 2088, 2204, 3306, 4408, 4959, 6612, 9918, 13224, 19836
Step-4: Factors of 39681
List of positive integer factors of 39681 that divides 39672 without a remainder.
1, 3, 9, 4409, 13227
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 39672 and 39681. The biggest common factor number is the GCF number.
So the greatest common factor 39672 and 39681 is 9.
Also check out the Least Common Multiple of 39672 and 39681
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