What is the Greatest Common Factor of 61770 and 61785?

Greatest common factor (GCF) of 61770 and 61785 is 15.

GCF(61770,61785) = 15

We will now calculate the prime factors of 61770 and 61785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61770 and 61785.

How to find the GCF of 61770 and 61785?

We will first find the prime factorization of 61770 and 61785. After we will calculate the factors of 61770 and 61785 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 61785

Prime factors of 61785 are 3, 5, 1373. Prime factorization of 61785 in exponential form is:

61785 = 3² × 5¹ × 1373¹

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 61785

List of positive integer factors of 61785 that divides 61770 without a remainder.

1, 3, 5, 9, 15, 45, 1373, 4119, 6865, 12357, 20595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61770 and 61785. The biggest common factor number is the GCF number.
So the greatest common factor 61770 and 61785 is 15.

Also check out the Least Common Multiple of 61770 and 61785