What is the Greatest Common Factor of 61766 and 61772?

Greatest common factor (GCF) of 61766 and 61772 is 2.

GCF(61766,61772) = 2

We will now calculate the prime factors of 61766 and 61772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61766 and 61772.

How to find the GCF of 61766 and 61772?

We will first find the prime factorization of 61766 and 61772. After we will calculate the factors of 61766 and 61772 and find the biggest common factor number .

Step-1: Prime Factorization of 61766

Prime factors of 61766 are 2, 89, 347. Prime factorization of 61766 in exponential form is:

61766 = 2¹ × 89¹ × 347¹

Step-2: Prime Factorization of 61772

Prime factors of 61772 are 2, 15443. Prime factorization of 61772 in exponential form is:

61772 = 2² × 15443¹

Step-3: Factors of 61766

List of positive integer factors of 61766 that divides 61766 without a remainder.

1, 2, 89, 178, 347, 694, 30883

Step-4: Factors of 61772

List of positive integer factors of 61772 that divides 61766 without a remainder.

1, 2, 4, 15443, 30886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61766 and 61772. The biggest common factor number is the GCF number.
So the greatest common factor 61766 and 61772 is 2.

Also check out the Least Common Multiple of 61766 and 61772