What is the Greatest Common Factor of 7654 and 7665?

Greatest common factor (GCF) of 7654 and 7665 is 1.

GCF(7654,7665) = 1

We will now calculate the prime factors of 7654 and 7665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7654 and 7665.

How to find the GCF of 7654 and 7665?

We will first find the prime factorization of 7654 and 7665. After we will calculate the factors of 7654 and 7665 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 7665

Prime factors of 7665 are 3, 5, 7, 73. Prime factorization of 7665 in exponential form is:

7665 = 3¹ × 5¹ × 7¹ × 73¹

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 7665

List of positive integer factors of 7665 that divides 7654 without a remainder.

1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7654 and 7665. The biggest common factor number is the GCF number.
So the greatest common factor 7654 and 7665 is 1.

Also check out the Least Common Multiple of 7654 and 7665