What is the Greatest Common Factor of 29053 and 29070?

Greatest common factor (GCF) of 29053 and 29070 is 17.

GCF(29053,29070) = 17

We will now calculate the prime factors of 29053 and 29070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29053 and 29070.

How to find the GCF of 29053 and 29070?

We will first find the prime factorization of 29053 and 29070. After we will calculate the factors of 29053 and 29070 and find the biggest common factor number .

Step-1: Prime Factorization of 29053

Prime factors of 29053 are 17, 1709. Prime factorization of 29053 in exponential form is:

29053 = 17¹ × 1709¹

Step-2: 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-3: Factors of 29053

List of positive integer factors of 29053 that divides 29053 without a remainder.

1, 17, 1709

Step-4: Factors of 29070

List of positive integer factors of 29070 that divides 29053 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29053 and 29070. The biggest common factor number is the GCF number.
So the greatest common factor 29053 and 29070 is 17.

Also check out the Least Common Multiple of 29053 and 29070