What is the Greatest Common Factor of 97582 and 97602?
Greatest common factor (GCF) of 97582 and 97602 is 2.
GCF(97582,97602) = 2
We will now calculate the prime factors of 97582 and 97602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97582 and 97602.
How to find the GCF of 97582 and 97602?
We will first find the prime factorization of 97582 and 97602. After we will calculate the factors of 97582 and 97602 and find the biggest common factor number .
Step-1: Prime Factorization of 97582
Prime factors of 97582 are 2, 97, 503. Prime factorization of 97582 in exponential form is:
97582 = 21 × 971 × 5031
Step-2: Prime Factorization of 97602
Prime factors of 97602 are 2, 3, 16267. Prime factorization of 97602 in exponential form is:
97602 = 21 × 31 × 162671
Step-3: Factors of 97582
List of positive integer factors of 97582 that divides 97582 without a remainder.
1, 2, 97, 194, 503, 1006, 48791
Step-4: Factors of 97602
List of positive integer factors of 97602 that divides 97582 without a remainder.
1, 2, 3, 6, 16267, 32534, 48801
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97582 and 97602. The biggest common factor number is the GCF number.
So the greatest common factor 97582 and 97602 is 2.
Also check out the Least Common Multiple of 97582 and 97602
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