What is the Greatest Common Factor of 735 and 751?

Greatest common factor (GCF) of 735 and 751 is 1.

GCF(735,751) = 1

We will now calculate the prime factors of 735 and 751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 735 and 751.

How to find the GCF of 735 and 751?

We will first find the prime factorization of 735 and 751. After we will calculate the factors of 735 and 751 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 751

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 751¹

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 751

List of positive integer factors of 751 that divides 735 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 735 and 751. The biggest common factor number is the GCF number.
So the greatest common factor 735 and 751 is 1.

Also check out the Least Common Multiple of 735 and 751