What is the Greatest Common Factor of 498 and 516?
Greatest common factor (GCF) of 498 and 516 is 6.
GCF(498,516) = 6
We will now calculate the prime factors of 498 and 516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 498 and 516.
How to find the GCF of 498 and 516?
We will first find the prime factorization of 498 and 516. After we will calculate the factors of 498 and 516 and find the biggest common factor number .
Step-1: Prime Factorization of 498
Prime factors of 498 are 2, 3, 83. Prime factorization of 498 in exponential form is:
498 = 21 × 31 × 831
Step-2: Prime Factorization of 516
Prime factors of 516 are 2, 3, 43. Prime factorization of 516 in exponential form is:
516 = 22 × 31 × 431
Step-3: Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249
Step-4: Factors of 516
List of positive integer factors of 516 that divides 498 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 498 and 516. The biggest common factor number is the GCF number.
So the greatest common factor 498 and 516 is 6.
Also check out the Least Common Multiple of 498 and 516
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