What is the Greatest Common Factor of 96280 and 96291?
Greatest common factor (GCF) of 96280 and 96291 is 1.
GCF(96280,96291) = 1
We will now calculate the prime factors of 96280 and 96291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96280 and 96291.
How to find the GCF of 96280 and 96291?
We will first find the prime factorization of 96280 and 96291. After we will calculate the factors of 96280 and 96291 and find the biggest common factor number .
Step-1: Prime Factorization of 96280
Prime factors of 96280 are 2, 5, 29, 83. Prime factorization of 96280 in exponential form is:
96280 = 23 × 51 × 291 × 831
Step-2: Prime Factorization of 96291
Prime factors of 96291 are 3, 13, 823. Prime factorization of 96291 in exponential form is:
96291 = 32 × 131 × 8231
Step-3: Factors of 96280
List of positive integer factors of 96280 that divides 96280 without a remainder.
1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 83, 116, 145, 166, 232, 290, 332, 415, 580, 664, 830, 1160, 1660, 2407, 3320, 4814, 9628, 12035, 19256, 24070, 48140
Step-4: Factors of 96291
List of positive integer factors of 96291 that divides 96280 without a remainder.
1, 3, 9, 13, 39, 117, 823, 2469, 7407, 10699, 32097
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96280 and 96291. The biggest common factor number is the GCF number.
So the greatest common factor 96280 and 96291 is 1.
Also check out the Least Common Multiple of 96280 and 96291
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