What is the Greatest Common Factor of 749 and 757?
Greatest common factor (GCF) of 749 and 757 is 1.
GCF(749,757) = 1
We will now calculate the prime factors of 749 and 757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 749 and 757.
How to find the GCF of 749 and 757?
We will first find the prime factorization of 749 and 757. After we will calculate the factors of 749 and 757 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 757
Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:
757 = 7571
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 757
List of positive integer factors of 757 that divides 749 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 749 and 757. The biggest common factor number is the GCF number.
So the greatest common factor 749 and 757 is 1.
Also check out the Least Common Multiple of 749 and 757
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Related Greatest Common Factors of 757
- GCF of 757 and 761
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