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What is the Greatest Common Factor of 48078 and 48098?

Greatest common factor (GCF) of 48078 and 48098 is 2.

GCF(48078,48098) = 2

We will now calculate the prime factors of 48078 and 48098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48078 and 48098.

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How to find the GCF of 48078 and 48098?

We will first find the prime factorization of 48078 and 48098. After we will calculate the factors of 48078 and 48098 and find the biggest common factor number .

Step-1: Prime Factorization of 48078

Prime factors of 48078 are 2, 3, 2671. Prime factorization of 48078 in exponential form is:

48078 = 21 × 32 × 26711

Step-2: Prime Factorization of 48098

Prime factors of 48098 are 2, 24049. Prime factorization of 48098 in exponential form is:

48098 = 21 × 240491

Step-3: Factors of 48078

List of positive integer factors of 48078 that divides 48078 without a remainder.

1, 2, 3, 6, 9, 18, 2671, 5342, 8013, 16026, 24039

Step-4: Factors of 48098

List of positive integer factors of 48098 that divides 48078 without a remainder.

1, 2, 24049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48078 and 48098. The biggest common factor number is the GCF number.
So the greatest common factor 48078 and 48098 is 2.

Also check out the Least Common Multiple of 48078 and 48098