What is the Greatest Common Factor of 29178 and 29190?
Greatest common factor (GCF) of 29178 and 29190 is 6.
GCF(29178,29190) = 6
We will now calculate the prime factors of 29178 and 29190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29178 and 29190.
How to find the GCF of 29178 and 29190?
We will first find the prime factorization of 29178 and 29190. After we will calculate the factors of 29178 and 29190 and find the biggest common factor number .
Step-1: Prime Factorization of 29178
Prime factors of 29178 are 2, 3, 1621. Prime factorization of 29178 in exponential form is:
29178 = 21 × 32 × 16211
Step-2: Prime Factorization of 29190
Prime factors of 29190 are 2, 3, 5, 7, 139. Prime factorization of 29190 in exponential form is:
29190 = 21 × 31 × 51 × 71 × 1391
Step-3: Factors of 29178
List of positive integer factors of 29178 that divides 29178 without a remainder.
1, 2, 3, 6, 9, 18, 1621, 3242, 4863, 9726, 14589
Step-4: Factors of 29190
List of positive integer factors of 29190 that divides 29178 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 139, 210, 278, 417, 695, 834, 973, 1390, 1946, 2085, 2919, 4170, 4865, 5838, 9730, 14595
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 29178 and 29190. The biggest common factor number is the GCF number.
So the greatest common factor 29178 and 29190 is 6.
Also check out the Least Common Multiple of 29178 and 29190
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