What is the Greatest Common Factor of 735 and 754?
Greatest common factor (GCF) of 735 and 754 is 1.
GCF(735,754) = 1
We will now calculate the prime factors of 735 and 754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 735 and 754.
How to find the GCF of 735 and 754?
We will first find the prime factorization of 735 and 754. After we will calculate the factors of 735 and 754 and find the biggest common factor number .
Step-1: Prime Factorization of 735
Prime factors of 735 are 3, 5, 7. Prime factorization of 735 in exponential form is:
735 = 31 × 51 × 72
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 735
List of positive integer factors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245
Step-4: Factors of 754
List of positive integer factors of 754 that divides 735 without a remainder.
1, 2, 13, 26, 29, 58, 377
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 735 and 754. The biggest common factor number is the GCF number.
So the greatest common factor 735 and 754 is 1.
Also check out the Least Common Multiple of 735 and 754
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