What is the Greatest Common Factor of 97035 and 97048?
Greatest common factor (GCF) of 97035 and 97048 is 1.
GCF(97035,97048) = 1
We will now calculate the prime factors of 97035 and 97048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97035 and 97048.
How to find the GCF of 97035 and 97048?
We will first find the prime factorization of 97035 and 97048. After we will calculate the factors of 97035 and 97048 and find the biggest common factor number .
Step-1: Prime Factorization of 97035
Prime factors of 97035 are 3, 5, 6469. Prime factorization of 97035 in exponential form is:
97035 = 31 × 51 × 64691
Step-2: Prime Factorization of 97048
Prime factors of 97048 are 2, 7, 1733. Prime factorization of 97048 in exponential form is:
97048 = 23 × 71 × 17331
Step-3: Factors of 97035
List of positive integer factors of 97035 that divides 97035 without a remainder.
1, 3, 5, 15, 6469, 19407, 32345
Step-4: Factors of 97048
List of positive integer factors of 97048 that divides 97035 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 1733, 3466, 6932, 12131, 13864, 24262, 48524
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97035 and 97048. The biggest common factor number is the GCF number.
So the greatest common factor 97035 and 97048 is 1.
Also check out the Least Common Multiple of 97035 and 97048
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