What is the Greatest Common Factor of 736 and 744?
Greatest common factor (GCF) of 736 and 744 is 8.
GCF(736,744) = 8
We will now calculate the prime factors of 736 and 744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 736 and 744.
How to find the GCF of 736 and 744?
We will first find the prime factorization of 736 and 744. After we will calculate the factors of 736 and 744 and find the biggest common factor number .
Step-1: Prime Factorization of 736
Prime factors of 736 are 2, 23. Prime factorization of 736 in exponential form is:
736 = 25 × 231
Step-2: Prime Factorization of 744
Prime factors of 744 are 2, 3, 31. Prime factorization of 744 in exponential form is:
744 = 23 × 31 × 311
Step-3: Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368
Step-4: Factors of 744
List of positive integer factors of 744 that divides 736 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 736 and 744. The biggest common factor number is the GCF number.
So the greatest common factor 736 and 744 is 8.
Also check out the Least Common Multiple of 736 and 744
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Related Greatest Common Factors of 744
- GCF of 744 and 748
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- GCF of 744 and 760
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