What is the Greatest Common Factor of 734 and 740?
Greatest common factor (GCF) of 734 and 740 is 2.
GCF(734,740) = 2
We will now calculate the prime factors of 734 and 740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 734 and 740.
How to find the GCF of 734 and 740?
We will first find the prime factorization of 734 and 740. After we will calculate the factors of 734 and 740 and find the biggest common factor number .
Step-1: Prime Factorization of 734
Prime factors of 734 are 2, 367. Prime factorization of 734 in exponential form is:
734 = 21 × 3671
Step-2: Prime Factorization of 740
Prime factors of 740 are 2, 5, 37. Prime factorization of 740 in exponential form is:
740 = 22 × 51 × 371
Step-3: Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1, 2, 367
Step-4: Factors of 740
List of positive integer factors of 740 that divides 734 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 734 and 740. The biggest common factor number is the GCF number.
So the greatest common factor 734 and 740 is 2.
Also check out the Least Common Multiple of 734 and 740
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Related Greatest Common Factors of 740
- GCF of 740 and 744
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