What is the Greatest Common Factor of 61047 and 61065?

Greatest common factor (GCF) of 61047 and 61065 is 9.

GCF(61047,61065) = 9

We will now calculate the prime factors of 61047 and 61065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61047 and 61065.

How to find the GCF of 61047 and 61065?

We will first find the prime factorization of 61047 and 61065. After we will calculate the factors of 61047 and 61065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61065

Prime factors of 61065 are 3, 5, 23, 59. Prime factorization of 61065 in exponential form is:

61065 = 3² × 5¹ × 23¹ × 59¹

Step-3: Factors of 61047

List of positive integer factors of 61047 that divides 61047 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

Step-4: Factors of 61065

List of positive integer factors of 61065 that divides 61047 without a remainder.

1, 3, 5, 9, 15, 23, 45, 59, 69, 115, 177, 207, 295, 345, 531, 885, 1035, 1357, 2655, 4071, 6785, 12213, 20355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61047 and 61065. The biggest common factor number is the GCF number.
So the greatest common factor 61047 and 61065 is 9.

Also check out the Least Common Multiple of 61047 and 61065