What is the Greatest Common Factor of 61755 and 61765?

Greatest common factor (GCF) of 61755 and 61765 is 5.

GCF(61755,61765) = 5

We will now calculate the prime factors of 61755 and 61765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61755 and 61765.

How to find the GCF of 61755 and 61765?

We will first find the prime factorization of 61755 and 61765. After we will calculate the factors of 61755 and 61765 and find the biggest common factor number .

Step-1: Prime Factorization of 61755

Prime factors of 61755 are 3, 5, 23, 179. Prime factorization of 61755 in exponential form is:

61755 = 3¹ × 5¹ × 23¹ × 179¹

Step-2: 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-3: Factors of 61755

List of positive integer factors of 61755 that divides 61755 without a remainder.

1, 3, 5, 15, 23, 69, 115, 179, 345, 537, 895, 2685, 4117, 12351, 20585

Step-4: Factors of 61765

List of positive integer factors of 61765 that divides 61755 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61755 and 61765. The biggest common factor number is the GCF number.
So the greatest common factor 61755 and 61765 is 5.

Also check out the Least Common Multiple of 61755 and 61765