What is the Greatest Common Factor of 97154 and 97162?
Greatest common factor (GCF) of 97154 and 97162 is 2.
GCF(97154,97162) = 2
We will now calculate the prime factors of 97154 and 97162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97154 and 97162.
How to find the GCF of 97154 and 97162?
We will first find the prime factorization of 97154 and 97162. After we will calculate the factors of 97154 and 97162 and find the biggest common factor number .
Step-1: Prime Factorization of 97154
Prime factors of 97154 are 2, 31, 1567. Prime factorization of 97154 in exponential form is:
97154 = 21 × 311 × 15671
Step-2: Prime Factorization of 97162
Prime factors of 97162 are 2, 13, 37, 101. Prime factorization of 97162 in exponential form is:
97162 = 21 × 131 × 371 × 1011
Step-3: Factors of 97154
List of positive integer factors of 97154 that divides 97154 without a remainder.
1, 2, 31, 62, 1567, 3134, 48577
Step-4: Factors of 97162
List of positive integer factors of 97162 that divides 97154 without a remainder.
1, 2, 13, 26, 37, 74, 101, 202, 481, 962, 1313, 2626, 3737, 7474, 48581
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97154 and 97162. The biggest common factor number is the GCF number.
So the greatest common factor 97154 and 97162 is 2.
Also check out the Least Common Multiple of 97154 and 97162
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