What is the Greatest Common Factor of 7630 and 7640?

Greatest common factor (GCF) of 7630 and 7640 is 10.

GCF(7630,7640) = 10

We will now calculate the prime factors of 7630 and 7640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7630 and 7640.

How to find the GCF of 7630 and 7640?

We will first find the prime factorization of 7630 and 7640. After we will calculate the factors of 7630 and 7640 and find the biggest common factor number .

Step-1: Prime Factorization of 7630

Prime factors of 7630 are 2, 5, 7, 109. Prime factorization of 7630 in exponential form is:

7630 = 2¹ × 5¹ × 7¹ × 109¹

Step-2: 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-3: Factors of 7630

List of positive integer factors of 7630 that divides 7630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815

Step-4: Factors of 7640

List of positive integer factors of 7640 that divides 7630 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7630 and 7640. The biggest common factor number is the GCF number.
So the greatest common factor 7630 and 7640 is 10.

Also check out the Least Common Multiple of 7630 and 7640