What is the Greatest Common Factor of 29070 and 29080?

Greatest common factor (GCF) of 29070 and 29080 is 10.

GCF(29070,29080) = 10

We will now calculate the prime factors of 29070 and 29080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29070 and 29080.

How to find the GCF of 29070 and 29080?

We will first find the prime factorization of 29070 and 29080. After we will calculate the factors of 29070 and 29080 and find the biggest common factor number .

Step-1: Prime Factorization of 29070

Prime factors of 29070 are 2, 3, 5, 17, 19. Prime factorization of 29070 in exponential form is:

29070 = 2¹ × 3² × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 29080

Prime factors of 29080 are 2, 5, 727. Prime factorization of 29080 in exponential form is:

29080 = 2³ × 5¹ × 727¹

Step-3: Factors of 29070

List of positive integer factors of 29070 that divides 29070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 19, 30, 34, 38, 45, 51, 57, 85, 90, 95, 102, 114, 153, 170, 171, 190, 255, 285, 306, 323, 342, 510, 570, 646, 765, 855, 969, 1530, 1615, 1710, 1938, 2907, 3230, 4845, 5814, 9690, 14535

Step-4: Factors of 29080

List of positive integer factors of 29080 that divides 29070 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 727, 1454, 2908, 3635, 5816, 7270, 14540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29070 and 29080. The biggest common factor number is the GCF number.
So the greatest common factor 29070 and 29080 is 10.

Also check out the Least Common Multiple of 29070 and 29080