What is the Greatest Common Factor of 746 and 753?
Greatest common factor (GCF) of 746 and 753 is 1.
GCF(746,753) = 1
We will now calculate the prime factors of 746 and 753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 746 and 753.
How to find the GCF of 746 and 753?
We will first find the prime factorization of 746 and 753. After we will calculate the factors of 746 and 753 and find the biggest common factor number .
Step-1: Prime Factorization of 746
Prime factors of 746 are 2, 373. Prime factorization of 746 in exponential form is:
746 = 21 × 3731
Step-2: Prime Factorization of 753
Prime factors of 753 are 3, 251. Prime factorization of 753 in exponential form is:
753 = 31 × 2511
Step-3: Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1, 2, 373
Step-4: Factors of 753
List of positive integer factors of 753 that divides 746 without a remainder.
1, 3, 251
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 746 and 753. The biggest common factor number is the GCF number.
So the greatest common factor 746 and 753 is 1.
Also check out the Least Common Multiple of 746 and 753
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