What is the Greatest Common Factor of 96995 and 97004?
Greatest common factor (GCF) of 96995 and 97004 is 1.
GCF(96995,97004) = 1
We will now calculate the prime factors of 96995 and 97004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96995 and 97004.
How to find the GCF of 96995 and 97004?
We will first find the prime factorization of 96995 and 97004. After we will calculate the factors of 96995 and 97004 and find the biggest common factor number .
Step-1: Prime Factorization of 96995
Prime factors of 96995 are 5, 19, 1021. Prime factorization of 96995 in exponential form is:
96995 = 51 × 191 × 10211
Step-2: Prime Factorization of 97004
Prime factors of 97004 are 2, 24251. Prime factorization of 97004 in exponential form is:
97004 = 22 × 242511
Step-3: Factors of 96995
List of positive integer factors of 96995 that divides 96995 without a remainder.
1, 5, 19, 95, 1021, 5105, 19399
Step-4: Factors of 97004
List of positive integer factors of 97004 that divides 96995 without a remainder.
1, 2, 4, 24251, 48502
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96995 and 97004. The biggest common factor number is the GCF number.
So the greatest common factor 96995 and 97004 is 1.
Also check out the Least Common Multiple of 96995 and 97004
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