What is the Greatest Common Factor of 7640 and 7654?

Greatest common factor (GCF) of 7640 and 7654 is 2.

GCF(7640,7654) = 2

We will now calculate the prime factors of 7640 and 7654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7640 and 7654.

How to find the GCF of 7640 and 7654?

We will first find the prime factorization of 7640 and 7654. After we will calculate the factors of 7640 and 7654 and find the biggest common factor number .

Step-1: Prime Factorization of 7640

Prime factors of 7640 are 2, 5, 191. Prime factorization of 7640 in exponential form is:

7640 = 2³ × 5¹ × 191¹

Step-2: 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-3: Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820

Step-4: Factors of 7654

List of positive integer factors of 7654 that divides 7640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7640 and 7654. The biggest common factor number is the GCF number.
So the greatest common factor 7640 and 7654 is 2.

Also check out the Least Common Multiple of 7640 and 7654