What is the Greatest Common Factor of 61768 and 61772?

Greatest common factor (GCF) of 61768 and 61772 is 4.

GCF(61768,61772) = 4

We will now calculate the prime factors of 61768 and 61772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61768 and 61772.

How to find the GCF of 61768 and 61772?

We will first find the prime factorization of 61768 and 61772. After we will calculate the factors of 61768 and 61772 and find the biggest common factor number .

Step-1: Prime Factorization of 61768

Prime factors of 61768 are 2, 7, 1103. Prime factorization of 61768 in exponential form is:

61768 = 2³ × 7¹ × 1103¹

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 61768

List of positive integer factors of 61768 that divides 61768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1103, 2206, 4412, 7721, 8824, 15442, 30884

Step-4: Factors of 61772

List of positive integer factors of 61772 that divides 61768 without a remainder.

1, 2, 4, 15443, 30886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61768 and 61772. The biggest common factor number is the GCF number.
So the greatest common factor 61768 and 61772 is 4.

Also check out the Least Common Multiple of 61768 and 61772