What is the Greatest Common Factor of 12390 and 12410?
Greatest common factor (GCF) of 12390 and 12410 is 10.
GCF(12390,12410) = 10
We will now calculate the prime factors of 12390 and 12410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12390 and 12410.
How to find the GCF of 12390 and 12410?
We will first find the prime factorization of 12390 and 12410. After we will calculate the factors of 12390 and 12410 and find the biggest common factor number .
Step-1: Prime Factorization of 12390
Prime factors of 12390 are 2, 3, 5, 7, 59. Prime factorization of 12390 in exponential form is:
12390 = 21 × 31 × 51 × 71 × 591
Step-2: Prime Factorization of 12410
Prime factors of 12410 are 2, 5, 17, 73. Prime factorization of 12410 in exponential form is:
12410 = 21 × 51 × 171 × 731
Step-3: Factors of 12390
List of positive integer factors of 12390 that divides 12390 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 59, 70, 105, 118, 177, 210, 295, 354, 413, 590, 826, 885, 1239, 1770, 2065, 2478, 4130, 6195
Step-4: Factors of 12410
List of positive integer factors of 12410 that divides 12390 without a remainder.
1, 2, 5, 10, 17, 34, 73, 85, 146, 170, 365, 730, 1241, 2482, 6205
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12390 and 12410. The biggest common factor number is the GCF number.
So the greatest common factor 12390 and 12410 is 10.
Also check out the Least Common Multiple of 12390 and 12410
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