What is the Greatest Common Factor of 742 and 761?

Greatest common factor (GCF) of 742 and 761 is 1.

GCF(742,761) = 1

We will now calculate the prime factors of 742 and 761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 742 and 761.

How to find the GCF of 742 and 761?

We will first find the prime factorization of 742 and 761. After we will calculate the factors of 742 and 761 and find the biggest common factor number .

Step-1: Prime Factorization of 742

Prime factors of 742 are 2, 7, 53. Prime factorization of 742 in exponential form is:

742 = 2¹ × 7¹ × 53¹

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 742

List of positive integer factors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371

Step-4: Factors of 761

List of positive integer factors of 761 that divides 742 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 742 and 761. The biggest common factor number is the GCF number.
So the greatest common factor 742 and 761 is 1.

Also check out the Least Common Multiple of 742 and 761