What is the Greatest Common Factor of 15222 and 15240?
Greatest common factor (GCF) of 15222 and 15240 is 6.
GCF(15222,15240) = 6
We will now calculate the prime factors of 15222 and 15240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15222 and 15240.
How to find the GCF of 15222 and 15240?
We will first find the prime factorization of 15222 and 15240. After we will calculate the factors of 15222 and 15240 and find the biggest common factor number .
Step-1: Prime Factorization of 15222
Prime factors of 15222 are 2, 3, 43, 59. Prime factorization of 15222 in exponential form is:
15222 = 21 × 31 × 431 × 591
Step-2: Prime Factorization of 15240
Prime factors of 15240 are 2, 3, 5, 127. Prime factorization of 15240 in exponential form is:
15240 = 23 × 31 × 51 × 1271
Step-3: Factors of 15222
List of positive integer factors of 15222 that divides 15222 without a remainder.
1, 2, 3, 6, 43, 59, 86, 118, 129, 177, 258, 354, 2537, 5074, 7611
Step-4: Factors of 15240
List of positive integer factors of 15240 that divides 15222 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15222 and 15240. The biggest common factor number is the GCF number.
So the greatest common factor 15222 and 15240 is 6.
Also check out the Least Common Multiple of 15222 and 15240
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