What is the Greatest Common Factor of 9671 and 9688?
Greatest common factor (GCF) of 9671 and 9688 is 1.
GCF(9671,9688) = 1
We will now calculate the prime factors of 9671 and 9688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9671 and 9688.
How to find the GCF of 9671 and 9688?
We will first find the prime factorization of 9671 and 9688. After we will calculate the factors of 9671 and 9688 and find the biggest common factor number .
Step-1: Prime Factorization of 9671
Prime factors of 9671 are 19, 509. Prime factorization of 9671 in exponential form is:
9671 = 191 × 5091
Step-2: Prime Factorization of 9688
Prime factors of 9688 are 2, 7, 173. Prime factorization of 9688 in exponential form is:
9688 = 23 × 71 × 1731
Step-3: Factors of 9671
List of positive integer factors of 9671 that divides 9671 without a remainder.
1, 19, 509
Step-4: Factors of 9688
List of positive integer factors of 9688 that divides 9671 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9671 and 9688. The biggest common factor number is the GCF number.
So the greatest common factor 9671 and 9688 is 1.
Also check out the Least Common Multiple of 9671 and 9688
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Related Greatest Common Factors of 9688
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