What is the Greatest Common Factor of 21690 and 21710?
Greatest common factor (GCF) of 21690 and 21710 is 10.
GCF(21690,21710) = 10
We will now calculate the prime factors of 21690 and 21710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21690 and 21710.
How to find the GCF of 21690 and 21710?
We will first find the prime factorization of 21690 and 21710. After we will calculate the factors of 21690 and 21710 and find the biggest common factor number .
Step-1: Prime Factorization of 21690
Prime factors of 21690 are 2, 3, 5, 241. Prime factorization of 21690 in exponential form is:
21690 = 21 × 32 × 51 × 2411
Step-2: Prime Factorization of 21710
Prime factors of 21710 are 2, 5, 13, 167. Prime factorization of 21710 in exponential form is:
21710 = 21 × 51 × 131 × 1671
Step-3: Factors of 21690
List of positive integer factors of 21690 that divides 21690 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 241, 482, 723, 1205, 1446, 2169, 2410, 3615, 4338, 7230, 10845
Step-4: Factors of 21710
List of positive integer factors of 21710 that divides 21690 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130, 167, 334, 835, 1670, 2171, 4342, 10855
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21690 and 21710. The biggest common factor number is the GCF number.
So the greatest common factor 21690 and 21710 is 10.
Also check out the Least Common Multiple of 21690 and 21710
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