What is the Greatest Common Factor of 9667 and 9676?
Greatest common factor (GCF) of 9667 and 9676 is 1.
GCF(9667,9676) = 1
We will now calculate the prime factors of 9667 and 9676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9667 and 9676.
How to find the GCF of 9667 and 9676?
We will first find the prime factorization of 9667 and 9676. After we will calculate the factors of 9667 and 9676 and find the biggest common factor number .
Step-1: Prime Factorization of 9667
Prime factors of 9667 are 7, 1381. Prime factorization of 9667 in exponential form is:
9667 = 71 × 13811
Step-2: Prime Factorization of 9676
Prime factors of 9676 are 2, 41, 59. Prime factorization of 9676 in exponential form is:
9676 = 22 × 411 × 591
Step-3: Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1, 7, 1381
Step-4: Factors of 9676
List of positive integer factors of 9676 that divides 9667 without a remainder.
1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9667 and 9676. The biggest common factor number is the GCF number.
So the greatest common factor 9667 and 9676 is 1.
Also check out the Least Common Multiple of 9667 and 9676
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Related Greatest Common Factors of 9676
- GCF of 9676 and 9680
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