What is the Greatest Common Factor of 74592 and 74605?
Greatest common factor (GCF) of 74592 and 74605 is 1.
GCF(74592,74605) = 1
We will now calculate the prime factors of 74592 and 74605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74592 and 74605.
How to find the GCF of 74592 and 74605?
We will first find the prime factorization of 74592 and 74605. After we will calculate the factors of 74592 and 74605 and find the biggest common factor number .
Step-1: Prime Factorization of 74592
Prime factors of 74592 are 2, 3, 7, 37. Prime factorization of 74592 in exponential form is:
74592 = 25 × 32 × 71 × 371
Step-2: Prime Factorization of 74605
Prime factors of 74605 are 5, 43, 347. Prime factorization of 74605 in exponential form is:
74605 = 51 × 431 × 3471
Step-3: Factors of 74592
List of positive integer factors of 74592 that divides 74592 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 37, 42, 48, 56, 63, 72, 74, 84, 96, 111, 112, 126, 144, 148, 168, 222, 224, 252, 259, 288, 296, 333, 336, 444, 504, 518, 592, 666, 672, 777, 888, 1008, 1036, 1184, 1332, 1554, 1776, 2016, 2072, 2331, 2664, 3108, 3552, 4144, 4662, 5328, 6216, 8288, 9324, 10656, 12432, 18648, 24864, 37296
Step-4: Factors of 74605
List of positive integer factors of 74605 that divides 74592 without a remainder.
1, 5, 43, 215, 347, 1735, 14921
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74592 and 74605. The biggest common factor number is the GCF number.
So the greatest common factor 74592 and 74605 is 1.
Also check out the Least Common Multiple of 74592 and 74605
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