What is the Greatest Common Factor of 36190 and 36210?
Greatest common factor (GCF) of 36190 and 36210 is 10.
GCF(36190,36210) = 10
We will now calculate the prime factors of 36190 and 36210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36190 and 36210.
How to find the GCF of 36190 and 36210?
We will first find the prime factorization of 36190 and 36210. After we will calculate the factors of 36190 and 36210 and find the biggest common factor number .
Step-1: Prime Factorization of 36190
Prime factors of 36190 are 2, 5, 7, 11, 47. Prime factorization of 36190 in exponential form is:
36190 = 21 × 51 × 71 × 111 × 471
Step-2: Prime Factorization of 36210
Prime factors of 36210 are 2, 3, 5, 17, 71. Prime factorization of 36210 in exponential form is:
36210 = 21 × 31 × 51 × 171 × 711
Step-3: Factors of 36190
List of positive integer factors of 36190 that divides 36190 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 47, 55, 70, 77, 94, 110, 154, 235, 329, 385, 470, 517, 658, 770, 1034, 1645, 2585, 3290, 3619, 5170, 7238, 18095
Step-4: Factors of 36210
List of positive integer factors of 36210 that divides 36190 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 71, 85, 102, 142, 170, 213, 255, 355, 426, 510, 710, 1065, 1207, 2130, 2414, 3621, 6035, 7242, 12070, 18105
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36190 and 36210. The biggest common factor number is the GCF number.
So the greatest common factor 36190 and 36210 is 10.
Also check out the Least Common Multiple of 36190 and 36210
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