What is the Greatest Common Factor of 69790 and 69810?

Greatest common factor (GCF) of 69790 and 69810 is 10.

GCF(69790,69810) = 10

We will now calculate the prime factors of 69790 and 69810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69790 and 69810.

How to find the GCF of 69790 and 69810?

We will first find the prime factorization of 69790 and 69810. After we will calculate the factors of 69790 and 69810 and find the biggest common factor number .

Step-1: Prime Factorization of 69790

Prime factors of 69790 are 2, 5, 7, 997. Prime factorization of 69790 in exponential form is:

69790 = 2¹ × 5¹ × 7¹ × 997¹

Step-2: Prime Factorization of 69810

Prime factors of 69810 are 2, 3, 5, 13, 179. Prime factorization of 69810 in exponential form is:

69810 = 2¹ × 3¹ × 5¹ × 13¹ × 179¹

Step-3: Factors of 69790

List of positive integer factors of 69790 that divides 69790 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 997, 1994, 4985, 6979, 9970, 13958, 34895

Step-4: Factors of 69810

List of positive integer factors of 69810 that divides 69790 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 179, 195, 358, 390, 537, 895, 1074, 1790, 2327, 2685, 4654, 5370, 6981, 11635, 13962, 23270, 34905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69790 and 69810. The biggest common factor number is the GCF number.
So the greatest common factor 69790 and 69810 is 10.

Also check out the Least Common Multiple of 69790 and 69810