What is the Greatest Common Factor of 52098 and 52107?
Greatest common factor (GCF) of 52098 and 52107 is 3.
GCF(52098,52107) = 3
We will now calculate the prime factors of 52098 and 52107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52098 and 52107.
How to find the GCF of 52098 and 52107?
We will first find the prime factorization of 52098 and 52107. After we will calculate the factors of 52098 and 52107 and find the biggest common factor number .
Step-1: Prime Factorization of 52098
Prime factors of 52098 are 2, 3, 19, 457. Prime factorization of 52098 in exponential form is:
52098 = 21 × 31 × 191 × 4571
Step-2: Prime Factorization of 52107
Prime factors of 52107 are 3, 11, 1579. Prime factorization of 52107 in exponential form is:
52107 = 31 × 111 × 15791
Step-3: Factors of 52098
List of positive integer factors of 52098 that divides 52098 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114, 457, 914, 1371, 2742, 8683, 17366, 26049
Step-4: Factors of 52107
List of positive integer factors of 52107 that divides 52098 without a remainder.
1, 3, 11, 33, 1579, 4737, 17369
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52098 and 52107. The biggest common factor number is the GCF number.
So the greatest common factor 52098 and 52107 is 3.
Also check out the Least Common Multiple of 52098 and 52107
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