What is the Greatest Common Factor of 79790 and 79810?

Greatest common factor (GCF) of 79790 and 79810 is 10.

GCF(79790,79810) = 10

We will now calculate the prime factors of 79790 and 79810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79790 and 79810.

How to find the GCF of 79790 and 79810?

We will first find the prime factorization of 79790 and 79810. After we will calculate the factors of 79790 and 79810 and find the biggest common factor number .

Step-1: Prime Factorization of 79790

Prime factors of 79790 are 2, 5, 79, 101. Prime factorization of 79790 in exponential form is:

79790 = 2¹ × 5¹ × 79¹ × 101¹

Step-2: Prime Factorization of 79810

Prime factors of 79810 are 2, 5, 23, 347. Prime factorization of 79810 in exponential form is:

79810 = 2¹ × 5¹ × 23¹ × 347¹

Step-3: Factors of 79790

List of positive integer factors of 79790 that divides 79790 without a remainder.

1, 2, 5, 10, 79, 101, 158, 202, 395, 505, 790, 1010, 7979, 15958, 39895

Step-4: Factors of 79810

List of positive integer factors of 79810 that divides 79790 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 347, 694, 1735, 3470, 7981, 15962, 39905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79790 and 79810. The biggest common factor number is the GCF number.
So the greatest common factor 79790 and 79810 is 10.

Also check out the Least Common Multiple of 79790 and 79810