What is the Greatest Common Factor of 9758 and 9774?
Greatest common factor (GCF) of 9758 and 9774 is 2.
GCF(9758,9774) = 2
We will now calculate the prime factors of 9758 and 9774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9758 and 9774.
How to find the GCF of 9758 and 9774?
We will first find the prime factorization of 9758 and 9774. After we will calculate the factors of 9758 and 9774 and find the biggest common factor number .
Step-1: Prime Factorization of 9758
Prime factors of 9758 are 2, 7, 17, 41. Prime factorization of 9758 in exponential form is:
9758 = 21 × 71 × 171 × 411
Step-2: Prime Factorization of 9774
Prime factors of 9774 are 2, 3, 181. Prime factorization of 9774 in exponential form is:
9774 = 21 × 33 × 1811
Step-3: Factors of 9758
List of positive integer factors of 9758 that divides 9758 without a remainder.
1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879
Step-4: Factors of 9774
List of positive integer factors of 9774 that divides 9758 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9758 and 9774. The biggest common factor number is the GCF number.
So the greatest common factor 9758 and 9774 is 2.
Also check out the Least Common Multiple of 9758 and 9774
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