What is the Greatest Common Factor of 61029 and 61047?

Greatest common factor (GCF) of 61029 and 61047 is 9.

GCF(61029,61047) = 9

We will now calculate the prime factors of 61029 and 61047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61029 and 61047.

How to find the GCF of 61029 and 61047?

We will first find the prime factorization of 61029 and 61047. After we will calculate the factors of 61029 and 61047 and find the biggest common factor number .

Step-1: Prime Factorization of 61029

Prime factors of 61029 are 3, 6781. Prime factorization of 61029 in exponential form is:

61029 = 3² × 6781¹

Step-2: Prime Factorization of 61047

Prime factors of 61047 are 3, 7, 17, 19. Prime factorization of 61047 in exponential form is:

61047 = 3³ × 7¹ × 17¹ × 19¹

Step-3: Factors of 61029

List of positive integer factors of 61029 that divides 61029 without a remainder.

1, 3, 9, 6781, 20343

Step-4: Factors of 61047

List of positive integer factors of 61047 that divides 61029 without a remainder.

1, 3, 7, 9, 17, 19, 21, 27, 51, 57, 63, 119, 133, 153, 171, 189, 323, 357, 399, 459, 513, 969, 1071, 1197, 2261, 2907, 3213, 3591, 6783, 8721, 20349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61029 and 61047. The biggest common factor number is the GCF number.
So the greatest common factor 61029 and 61047 is 9.

Also check out the Least Common Multiple of 61029 and 61047