What is the Greatest Common Factor of 21310 and 21330?
Greatest common factor (GCF) of 21310 and 21330 is 10.
GCF(21310,21330) = 10
We will now calculate the prime factors of 21310 and 21330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21310 and 21330.
How to find the GCF of 21310 and 21330?
We will first find the prime factorization of 21310 and 21330. After we will calculate the factors of 21310 and 21330 and find the biggest common factor number .
Step-1: Prime Factorization of 21310
Prime factors of 21310 are 2, 5, 2131. Prime factorization of 21310 in exponential form is:
21310 = 21 × 51 × 21311
Step-2: Prime Factorization of 21330
Prime factors of 21330 are 2, 3, 5, 79. Prime factorization of 21330 in exponential form is:
21330 = 21 × 33 × 51 × 791
Step-3: Factors of 21310
List of positive integer factors of 21310 that divides 21310 without a remainder.
1, 2, 5, 10, 2131, 4262, 10655
Step-4: Factors of 21330
List of positive integer factors of 21330 that divides 21310 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 79, 90, 135, 158, 237, 270, 395, 474, 711, 790, 1185, 1422, 2133, 2370, 3555, 4266, 7110, 10665
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21310 and 21330. The biggest common factor number is the GCF number.
So the greatest common factor 21310 and 21330 is 10.
Also check out the Least Common Multiple of 21310 and 21330
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