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What is the Greatest Common Factor of 98296 and 98300?

Greatest common factor (GCF) of 98296 and 98300 is 4.

GCF(98296,98300) = 4

We will now calculate the prime factors of 98296 and 98300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98296 and 98300.

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How to find the GCF of 98296 and 98300?

We will first find the prime factorization of 98296 and 98300. After we will calculate the factors of 98296 and 98300 and find the biggest common factor number .

Step-1: Prime Factorization of 98296

Prime factors of 98296 are 2, 11, 1117. Prime factorization of 98296 in exponential form is:

98296 = 23 × 111 × 11171

Step-2: Prime Factorization of 98300

Prime factors of 98300 are 2, 5, 983. Prime factorization of 98300 in exponential form is:

98300 = 22 × 52 × 9831

Step-3: Factors of 98296

List of positive integer factors of 98296 that divides 98296 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1117, 2234, 4468, 8936, 12287, 24574, 49148

Step-4: Factors of 98300

List of positive integer factors of 98300 that divides 98296 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 983, 1966, 3932, 4915, 9830, 19660, 24575, 49150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98296 and 98300. The biggest common factor number is the GCF number.
So the greatest common factor 98296 and 98300 is 4.

Also check out the Least Common Multiple of 98296 and 98300