What is the Greatest Common Factor of 7620 and 7630?

Greatest common factor (GCF) of 7620 and 7630 is 10.

GCF(7620,7630) = 10

We will now calculate the prime factors of 7620 and 7630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7620 and 7630.

How to find the GCF of 7620 and 7630?

We will first find the prime factorization of 7620 and 7630. After we will calculate the factors of 7620 and 7630 and find the biggest common factor number .

Step-1: Prime Factorization of 7620

Prime factors of 7620 are 2, 3, 5, 127. Prime factorization of 7620 in exponential form is:

7620 = 2² × 3¹ × 5¹ × 127¹

Step-2: 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-3: Factors of 7620

List of positive integer factors of 7620 that divides 7620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810

Step-4: Factors of 7630

List of positive integer factors of 7630 that divides 7620 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7620 and 7630. The biggest common factor number is the GCF number.
So the greatest common factor 7620 and 7630 is 10.

Also check out the Least Common Multiple of 7620 and 7630