What is the Greatest Common Factor of 749 and 761?

Greatest common factor (GCF) of 749 and 761 is 1.

GCF(749,761) = 1

We will now calculate the prime factors of 749 and 761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 749 and 761.

How to find the GCF of 749 and 761?

We will first find the prime factorization of 749 and 761. After we will calculate the factors of 749 and 761 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 761

Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:

761 = 761¹

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 761

List of positive integer factors of 761 that divides 749 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 749 and 761. The biggest common factor number is the GCF number.
So the greatest common factor 749 and 761 is 1.

Also check out the Least Common Multiple of 749 and 761