What is the Greatest Common Factor of 29051 and 29070?

Greatest common factor (GCF) of 29051 and 29070 is 19.

GCF(29051,29070) = 19

We will now calculate the prime factors of 29051 and 29070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29051 and 29070.

How to find the GCF of 29051 and 29070?

We will first find the prime factorization of 29051 and 29070. After we will calculate the factors of 29051 and 29070 and find the biggest common factor number .

Step-1: Prime Factorization of 29051

Prime factors of 29051 are 11, 19, 139. Prime factorization of 29051 in exponential form is:

29051 = 11¹ × 19¹ × 139¹

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 29051

List of positive integer factors of 29051 that divides 29051 without a remainder.

1, 11, 19, 139, 209, 1529, 2641

Step-4: Factors of 29070

List of positive integer factors of 29070 that divides 29051 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 29051 and 29070. The biggest common factor number is the GCF number.
So the greatest common factor 29051 and 29070 is 19.

Also check out the Least Common Multiple of 29051 and 29070