What is the Greatest Common Factor of 61770 and 61779?

Greatest common factor (GCF) of 61770 and 61779 is 3.

GCF(61770,61779) = 3

We will now calculate the prime factors of 61770 and 61779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61770 and 61779.

How to find the GCF of 61770 and 61779?

We will first find the prime factorization of 61770 and 61779. After we will calculate the factors of 61770 and 61779 and find the biggest common factor number .

Step-1: Prime Factorization of 61770

Prime factors of 61770 are 2, 3, 5, 29, 71. Prime factorization of 61770 in exponential form is:

61770 = 2¹ × 3¹ × 5¹ × 29¹ × 71¹

Step-2: Prime Factorization of 61779

Prime factors of 61779 are 3, 20593. Prime factorization of 61779 in exponential form is:

61779 = 3¹ × 20593¹

Step-3: Factors of 61770

List of positive integer factors of 61770 that divides 61770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 71, 87, 142, 145, 174, 213, 290, 355, 426, 435, 710, 870, 1065, 2059, 2130, 4118, 6177, 10295, 12354, 20590, 30885

Step-4: Factors of 61779

List of positive integer factors of 61779 that divides 61770 without a remainder.

1, 3, 20593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61770 and 61779. The biggest common factor number is the GCF number.
So the greatest common factor 61770 and 61779 is 3.

Also check out the Least Common Multiple of 61770 and 61779