What is the Greatest Common Factor of 749 and 767?
Greatest common factor (GCF) of 749 and 767 is 1.
GCF(749,767) = 1
We will now calculate the prime factors of 749 and 767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 749 and 767.
How to find the GCF of 749 and 767?
We will first find the prime factorization of 749 and 767. After we will calculate the factors of 749 and 767 and find the biggest common factor number .
Step-1: Prime Factorization of 749
Prime factors of 749 are 7, 107. Prime factorization of 749 in exponential form is:
749 = 71 × 1071
Step-2: Prime Factorization of 767
Prime factors of 767 are 13, 59. Prime factorization of 767 in exponential form is:
767 = 131 × 591
Step-3: Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107
Step-4: Factors of 767
List of positive integer factors of 767 that divides 749 without a remainder.
1, 13, 59
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 749 and 767. The biggest common factor number is the GCF number.
So the greatest common factor 749 and 767 is 1.
Also check out the Least Common Multiple of 749 and 767
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