What is the Greatest Common Factor of 7738 and 7743?

Greatest common factor (GCF) of 7738 and 7743 is 1.

GCF(7738,7743) = 1

We will now calculate the prime factors of 7738 and 7743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7738 and 7743.

How to find the GCF of 7738 and 7743?

We will first find the prime factorization of 7738 and 7743. After we will calculate the factors of 7738 and 7743 and find the biggest common factor number .

Step-1: Prime Factorization of 7738

Prime factors of 7738 are 2, 53, 73. Prime factorization of 7738 in exponential form is:

7738 = 2¹ × 53¹ × 73¹

Step-2: Prime Factorization of 7743

Prime factors of 7743 are 3, 29, 89. Prime factorization of 7743 in exponential form is:

7743 = 3¹ × 29¹ × 89¹

Step-3: Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1, 2, 53, 73, 106, 146, 3869

Step-4: Factors of 7743

List of positive integer factors of 7743 that divides 7738 without a remainder.

1, 3, 29, 87, 89, 267, 2581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7738 and 7743. The biggest common factor number is the GCF number.
So the greatest common factor 7738 and 7743 is 1.

Also check out the Least Common Multiple of 7738 and 7743