What is the Greatest Common Factor of 74716 and 74733?
Greatest common factor (GCF) of 74716 and 74733 is 1.
GCF(74716,74733) = 1
We will now calculate the prime factors of 74716 and 74733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74716 and 74733.
How to find the GCF of 74716 and 74733?
We will first find the prime factorization of 74716 and 74733. After we will calculate the factors of 74716 and 74733 and find the biggest common factor number .
Step-1: Prime Factorization of 74716
Prime factors of 74716 are 2, 18679. Prime factorization of 74716 in exponential form is:
74716 = 22 × 186791
Step-2: Prime Factorization of 74733
Prime factors of 74733 are 3, 29, 859. Prime factorization of 74733 in exponential form is:
74733 = 31 × 291 × 8591
Step-3: Factors of 74716
List of positive integer factors of 74716 that divides 74716 without a remainder.
1, 2, 4, 18679, 37358
Step-4: Factors of 74733
List of positive integer factors of 74733 that divides 74716 without a remainder.
1, 3, 29, 87, 859, 2577, 24911
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74716 and 74733. The biggest common factor number is the GCF number.
So the greatest common factor 74716 and 74733 is 1.
Also check out the Least Common Multiple of 74716 and 74733
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