What is the Greatest Common Factor of 749 and 754?
Greatest common factor (GCF) of 749 and 754 is 1.
GCF(749,754) = 1
We will now calculate the prime factors of 749 and 754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 749 and 754.
How to find the GCF of 749 and 754?
We will first find the prime factorization of 749 and 754. After we will calculate the factors of 749 and 754 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 754
Prime factors of 754 are 2, 13, 29. Prime factorization of 754 in exponential form is:
754 = 21 × 131 × 291
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 754
List of positive integer factors of 754 that divides 749 without a remainder.
1, 2, 13, 26, 29, 58, 377
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 749 and 754. The biggest common factor number is the GCF number.
So the greatest common factor 749 and 754 is 1.
Also check out the Least Common Multiple of 749 and 754
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Related Greatest Common Factors of 754
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