What is the Greatest Common Factor of 9656 and 9669?
Greatest common factor (GCF) of 9656 and 9669 is 1.
GCF(9656,9669) = 1
We will now calculate the prime factors of 9656 and 9669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9656 and 9669.
How to find the GCF of 9656 and 9669?
We will first find the prime factorization of 9656 and 9669. After we will calculate the factors of 9656 and 9669 and find the biggest common factor number .
Step-1: Prime Factorization of 9656
Prime factors of 9656 are 2, 17, 71. Prime factorization of 9656 in exponential form is:
9656 = 23 × 171 × 711
Step-2: Prime Factorization of 9669
Prime factors of 9669 are 3, 11, 293. Prime factorization of 9669 in exponential form is:
9669 = 31 × 111 × 2931
Step-3: Factors of 9656
List of positive integer factors of 9656 that divides 9656 without a remainder.
1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828
Step-4: Factors of 9669
List of positive integer factors of 9669 that divides 9656 without a remainder.
1, 3, 11, 33, 293, 879, 3223
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9656 and 9669. The biggest common factor number is the GCF number.
So the greatest common factor 9656 and 9669 is 1.
Also check out the Least Common Multiple of 9656 and 9669
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