What is the Greatest Common Factor of 53094 and 53109?
Greatest common factor (GCF) of 53094 and 53109 is 3.
GCF(53094,53109) = 3
We will now calculate the prime factors of 53094 and 53109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53094 and 53109.
How to find the GCF of 53094 and 53109?
We will first find the prime factorization of 53094 and 53109. After we will calculate the factors of 53094 and 53109 and find the biggest common factor number .
Step-1: Prime Factorization of 53094
Prime factors of 53094 are 2, 3, 8849. Prime factorization of 53094 in exponential form is:
53094 = 21 × 31 × 88491
Step-2: Prime Factorization of 53109
Prime factors of 53109 are 3, 7, 281. Prime factorization of 53109 in exponential form is:
53109 = 33 × 71 × 2811
Step-3: Factors of 53094
List of positive integer factors of 53094 that divides 53094 without a remainder.
1, 2, 3, 6, 8849, 17698, 26547
Step-4: Factors of 53109
List of positive integer factors of 53109 that divides 53094 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189, 281, 843, 1967, 2529, 5901, 7587, 17703
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53094 and 53109. The biggest common factor number is the GCF number.
So the greatest common factor 53094 and 53109 is 3.
Also check out the Least Common Multiple of 53094 and 53109
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