What is the Greatest Common Factor of 7654 and 7669?

Greatest common factor (GCF) of 7654 and 7669 is 1.

GCF(7654,7669) = 1

We will now calculate the prime factors of 7654 and 7669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7654 and 7669.

How to find the GCF of 7654 and 7669?

We will first find the prime factorization of 7654 and 7669. After we will calculate the factors of 7654 and 7669 and find the biggest common factor number .

Step-1: Prime Factorization of 7654

Prime factors of 7654 are 2, 43, 89. Prime factorization of 7654 in exponential form is:

7654 = 2¹ × 43¹ × 89¹

Step-2: Prime Factorization of 7669

Prime factors of 7669 are 7669. Prime factorization of 7669 in exponential form is:

7669 = 7669¹

Step-3: Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1, 2, 43, 86, 89, 178, 3827

Step-4: Factors of 7669

List of positive integer factors of 7669 that divides 7654 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7654 and 7669. The biggest common factor number is the GCF number.
So the greatest common factor 7654 and 7669 is 1.

Also check out the Least Common Multiple of 7654 and 7669