What is the Greatest Common Factor of 74393 and 74400?
Greatest common factor (GCF) of 74393 and 74400 is 1.
GCF(74393,74400) = 1
We will now calculate the prime factors of 74393 and 74400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74393 and 74400.
How to find the GCF of 74393 and 74400?
We will first find the prime factorization of 74393 and 74400. After we will calculate the factors of 74393 and 74400 and find the biggest common factor number .
Step-1: Prime Factorization of 74393
Prime factors of 74393 are 11, 6763. Prime factorization of 74393 in exponential form is:
74393 = 111 × 67631
Step-2: Prime Factorization of 74400
Prime factors of 74400 are 2, 3, 5, 31. Prime factorization of 74400 in exponential form is:
74400 = 25 × 31 × 52 × 311
Step-3: Factors of 74393
List of positive integer factors of 74393 that divides 74393 without a remainder.
1, 11, 6763
Step-4: Factors of 74400
List of positive integer factors of 74400 that divides 74393 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 31, 32, 40, 48, 50, 60, 62, 75, 80, 93, 96, 100, 120, 124, 150, 155, 160, 186, 200, 240, 248, 300, 310, 372, 400, 465, 480, 496, 600, 620, 744, 775, 800, 930, 992, 1200, 1240, 1488, 1550, 1860, 2325, 2400, 2480, 2976, 3100, 3720, 4650, 4960, 6200, 7440, 9300, 12400, 14880, 18600, 24800, 37200
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74393 and 74400. The biggest common factor number is the GCF number.
So the greatest common factor 74393 and 74400 is 1.
Also check out the Least Common Multiple of 74393 and 74400
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Related Greatest Common Factors of 74400
- GCF of 74400 and 74404
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- GCF of 74400 and 74406
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- GCF of 74400 and 74414
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