What is the Greatest Common Factor of 7654 and 7663?

Greatest common factor (GCF) of 7654 and 7663 is 1.

GCF(7654,7663) = 1

We will now calculate the prime factors of 7654 and 7663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7654 and 7663.

How to find the GCF of 7654 and 7663?

We will first find the prime factorization of 7654 and 7663. After we will calculate the factors of 7654 and 7663 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 7663

Prime factors of 7663 are 79, 97. Prime factorization of 7663 in exponential form is:

7663 = 79¹ × 97¹

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 7663

List of positive integer factors of 7663 that divides 7654 without a remainder.

1, 79, 97

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7654 and 7663. The biggest common factor number is the GCF number.
So the greatest common factor 7654 and 7663 is 1.

Also check out the Least Common Multiple of 7654 and 7663