What is the Greatest Common Factor of 61059 and 61068?

Greatest common factor (GCF) of 61059 and 61068 is 3.

GCF(61059,61068) = 3

We will now calculate the prime factors of 61059 and 61068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61059 and 61068.

How to find the GCF of 61059 and 61068?

We will first find the prime factorization of 61059 and 61068. After we will calculate the factors of 61059 and 61068 and find the biggest common factor number .

Step-1: Prime Factorization of 61059

Prime factors of 61059 are 3, 20353. Prime factorization of 61059 in exponential form is:

61059 = 3¹ × 20353¹

Step-2: Prime Factorization of 61068

Prime factors of 61068 are 2, 3, 7, 727. Prime factorization of 61068 in exponential form is:

61068 = 2² × 3¹ × 7¹ × 727¹

Step-3: Factors of 61059

List of positive integer factors of 61059 that divides 61059 without a remainder.

1, 3, 20353

Step-4: Factors of 61068

List of positive integer factors of 61068 that divides 61059 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 727, 1454, 2181, 2908, 4362, 5089, 8724, 10178, 15267, 20356, 30534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61059 and 61068. The biggest common factor number is the GCF number.
So the greatest common factor 61059 and 61068 is 3.

Also check out the Least Common Multiple of 61059 and 61068