What is the Greatest Common Factor of 61765 and 61785?

Greatest common factor (GCF) of 61765 and 61785 is 5.

GCF(61765,61785) = 5

We will now calculate the prime factors of 61765 and 61785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61765 and 61785.

How to find the GCF of 61765 and 61785?

We will first find the prime factorization of 61765 and 61785. After we will calculate the factors of 61765 and 61785 and find the biggest common factor number .

Step-1: Prime Factorization of 61765

Prime factors of 61765 are 5, 11, 1123. Prime factorization of 61765 in exponential form is:

61765 = 5¹ × 11¹ × 1123¹

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 61765

List of positive integer factors of 61765 that divides 61765 without a remainder.

1, 5, 11, 55, 1123, 5615, 12353

Step-4: Factors of 61785

List of positive integer factors of 61785 that divides 61765 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 61765 and 61785. The biggest common factor number is the GCF number.
So the greatest common factor 61765 and 61785 is 5.

Also check out the Least Common Multiple of 61765 and 61785