What is the Greatest Common Factor of 74791 and 74800?
Greatest common factor (GCF) of 74791 and 74800 is 1.
GCF(74791,74800) = 1
We will now calculate the prime factors of 74791 and 74800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74791 and 74800.
How to find the GCF of 74791 and 74800?
We will first find the prime factorization of 74791 and 74800. After we will calculate the factors of 74791 and 74800 and find the biggest common factor number .
Step-1: Prime Factorization of 74791
Prime factors of 74791 are 29, 2579. Prime factorization of 74791 in exponential form is:
74791 = 291 × 25791
Step-2: Prime Factorization of 74800
Prime factors of 74800 are 2, 5, 11, 17. Prime factorization of 74800 in exponential form is:
74800 = 24 × 52 × 111 × 171
Step-3: Factors of 74791
List of positive integer factors of 74791 that divides 74791 without a remainder.
1, 29, 2579
Step-4: Factors of 74800
List of positive integer factors of 74800 that divides 74791 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 25, 34, 40, 44, 50, 55, 68, 80, 85, 88, 100, 110, 136, 170, 176, 187, 200, 220, 272, 275, 340, 374, 400, 425, 440, 550, 680, 748, 850, 880, 935, 1100, 1360, 1496, 1700, 1870, 2200, 2992, 3400, 3740, 4400, 4675, 6800, 7480, 9350, 14960, 18700, 37400
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74791 and 74800. The biggest common factor number is the GCF number.
So the greatest common factor 74791 and 74800 is 1.
Also check out the Least Common Multiple of 74791 and 74800
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