What is the Greatest Common Factor of 8488 and 8508?
Greatest common factor (GCF) of 8488 and 8508 is 4.
GCF(8488,8508) = 4
We will now calculate the prime factors of 8488 and 8508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8488 and 8508.
How to find the GCF of 8488 and 8508?
We will first find the prime factorization of 8488 and 8508. After we will calculate the factors of 8488 and 8508 and find the biggest common factor number .
Step-1: Prime Factorization of 8488
Prime factors of 8488 are 2, 1061. Prime factorization of 8488 in exponential form is:
8488 = 23 × 10611
Step-2: Prime Factorization of 8508
Prime factors of 8508 are 2, 3, 709. Prime factorization of 8508 in exponential form is:
8508 = 22 × 31 × 7091
Step-3: Factors of 8488
List of positive integer factors of 8488 that divides 8488 without a remainder.
1, 2, 4, 8, 1061, 2122, 4244
Step-4: Factors of 8508
List of positive integer factors of 8508 that divides 8488 without a remainder.
1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8488 and 8508. The biggest common factor number is the GCF number.
So the greatest common factor 8488 and 8508 is 4.
Also check out the Least Common Multiple of 8488 and 8508
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