What is the Greatest Common Factor of 74592 and 74603?

Greatest common factor (GCF) of 74592 and 74603 is 1.

GCF(74592,74603) = 1

We will now calculate the prime factors of 74592 and 74603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74592 and 74603.

How to find the GCF of 74592 and 74603?

We will first find the prime factorization of 74592 and 74603. After we will calculate the factors of 74592 and 74603 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 74603

Prime factors of 74603 are 61, 1223. Prime factorization of 74603 in exponential form is:

74603 = 61¹ × 1223¹

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 74603

List of positive integer factors of 74603 that divides 74592 without a remainder.

1, 61, 1223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74592 and 74603. The biggest common factor number is the GCF number.
So the greatest common factor 74592 and 74603 is 1.

Also check out the Least Common Multiple of 74592 and 74603