What is the Greatest Common Factor of 28090 and 28101?
Greatest common factor (GCF) of 28090 and 28101 is 1.
GCF(28090,28101) = 1
We will now calculate the prime factors of 28090 and 28101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28090 and 28101.
How to find the GCF of 28090 and 28101?
We will first find the prime factorization of 28090 and 28101. After we will calculate the factors of 28090 and 28101 and find the biggest common factor number .
Step-1: Prime Factorization of 28090
Prime factors of 28090 are 2, 5, 53. Prime factorization of 28090 in exponential form is:
28090 = 21 × 51 × 532
Step-2: Prime Factorization of 28101
Prime factors of 28101 are 3, 17, 19, 29. Prime factorization of 28101 in exponential form is:
28101 = 31 × 171 × 191 × 291
Step-3: Factors of 28090
List of positive integer factors of 28090 that divides 28090 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530, 2809, 5618, 14045
Step-4: Factors of 28101
List of positive integer factors of 28101 that divides 28090 without a remainder.
1, 3, 17, 19, 29, 51, 57, 87, 323, 493, 551, 969, 1479, 1653, 9367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28090 and 28101. The biggest common factor number is the GCF number.
So the greatest common factor 28090 and 28101 is 1.
Also check out the Least Common Multiple of 28090 and 28101
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