What is the Greatest Common Factor of 72226 and 72240?
Greatest common factor (GCF) of 72226 and 72240 is 14.
GCF(72226,72240) = 14
We will now calculate the prime factors of 72226 and 72240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72226 and 72240.
How to find the GCF of 72226 and 72240?
We will first find the prime factorization of 72226 and 72240. After we will calculate the factors of 72226 and 72240 and find the biggest common factor number .
Step-1: Prime Factorization of 72226
Prime factors of 72226 are 2, 7, 11, 67. Prime factorization of 72226 in exponential form is:
72226 = 21 × 72 × 111 × 671
Step-2: Prime Factorization of 72240
Prime factors of 72240 are 2, 3, 5, 7, 43. Prime factorization of 72240 in exponential form is:
72240 = 24 × 31 × 51 × 71 × 431
Step-3: Factors of 72226
List of positive integer factors of 72226 that divides 72226 without a remainder.
1, 2, 7, 11, 14, 22, 49, 67, 77, 98, 134, 154, 469, 539, 737, 938, 1078, 1474, 3283, 5159, 6566, 10318, 36113
Step-4: Factors of 72240
List of positive integer factors of 72240 that divides 72226 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 43, 48, 56, 60, 70, 80, 84, 86, 105, 112, 120, 129, 140, 168, 172, 210, 215, 240, 258, 280, 301, 336, 344, 420, 430, 516, 560, 602, 645, 688, 840, 860, 903, 1032, 1204, 1290, 1505, 1680, 1720, 1806, 2064, 2408, 2580, 3010, 3440, 3612, 4515, 4816, 5160, 6020, 7224, 9030, 10320, 12040, 14448, 18060, 24080, 36120
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72226 and 72240. The biggest common factor number is the GCF number.
So the greatest common factor 72226 and 72240 is 14.
Also check out the Least Common Multiple of 72226 and 72240
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