What is the Greatest Common Factor of 61071 and 61080?

Greatest common factor (GCF) of 61071 and 61080 is 3.

GCF(61071,61080) = 3

We will now calculate the prime factors of 61071 and 61080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61071 and 61080.

How to find the GCF of 61071 and 61080?

We will first find the prime factorization of 61071 and 61080. After we will calculate the factors of 61071 and 61080 and find the biggest common factor number .

Step-1: Prime Factorization of 61071

Prime factors of 61071 are 3, 20357. Prime factorization of 61071 in exponential form is:

61071 = 3¹ × 20357¹

Step-2: Prime Factorization of 61080

Prime factors of 61080 are 2, 3, 5, 509. Prime factorization of 61080 in exponential form is:

61080 = 2³ × 3¹ × 5¹ × 509¹

Step-3: Factors of 61071

List of positive integer factors of 61071 that divides 61071 without a remainder.

1, 3, 20357

Step-4: Factors of 61080

List of positive integer factors of 61080 that divides 61071 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 509, 1018, 1527, 2036, 2545, 3054, 4072, 5090, 6108, 7635, 10180, 12216, 15270, 20360, 30540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61071 and 61080. The biggest common factor number is the GCF number.
So the greatest common factor 61071 and 61080 is 3.

Also check out the Least Common Multiple of 61071 and 61080