What is the Greatest Common Factor of 74424 and 74433?
Greatest common factor (GCF) of 74424 and 74433 is 3.
GCF(74424,74433) = 3
We will now calculate the prime factors of 74424 and 74433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74424 and 74433.
How to find the GCF of 74424 and 74433?
We will first find the prime factorization of 74424 and 74433. After we will calculate the factors of 74424 and 74433 and find the biggest common factor number .
Step-1: Prime Factorization of 74424
Prime factors of 74424 are 2, 3, 7, 443. Prime factorization of 74424 in exponential form is:
74424 = 23 × 31 × 71 × 4431
Step-2: Prime Factorization of 74433
Prime factors of 74433 are 3, 43, 577. Prime factorization of 74433 in exponential form is:
74433 = 31 × 431 × 5771
Step-3: Factors of 74424
List of positive integer factors of 74424 that divides 74424 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 443, 886, 1329, 1772, 2658, 3101, 3544, 5316, 6202, 9303, 10632, 12404, 18606, 24808, 37212
Step-4: Factors of 74433
List of positive integer factors of 74433 that divides 74424 without a remainder.
1, 3, 43, 129, 577, 1731, 24811
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74424 and 74433. The biggest common factor number is the GCF number.
So the greatest common factor 74424 and 74433 is 3.
Also check out the Least Common Multiple of 74424 and 74433
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Related Greatest Common Factors of 74433
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