What is the Greatest Common Factor of 20258 and 20265?
Greatest common factor (GCF) of 20258 and 20265 is 7.
GCF(20258,20265) = 7
We will now calculate the prime factors of 20258 and 20265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20258 and 20265.
How to find the GCF of 20258 and 20265?
We will first find the prime factorization of 20258 and 20265. After we will calculate the factors of 20258 and 20265 and find the biggest common factor number .
Step-1: Prime Factorization of 20258
Prime factors of 20258 are 2, 7, 1447. Prime factorization of 20258 in exponential form is:
20258 = 21 × 71 × 14471
Step-2: Prime Factorization of 20265
Prime factors of 20265 are 3, 5, 7, 193. Prime factorization of 20265 in exponential form is:
20265 = 31 × 51 × 71 × 1931
Step-3: Factors of 20258
List of positive integer factors of 20258 that divides 20258 without a remainder.
1, 2, 7, 14, 1447, 2894, 10129
Step-4: Factors of 20265
List of positive integer factors of 20265 that divides 20258 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105, 193, 579, 965, 1351, 2895, 4053, 6755
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20258 and 20265. The biggest common factor number is the GCF number.
So the greatest common factor 20258 and 20265 is 7.
Also check out the Least Common Multiple of 20258 and 20265
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