What is the Greatest Common Factor of 61772 and 61790?

Greatest common factor (GCF) of 61772 and 61790 is 2.

GCF(61772,61790) = 2

We will now calculate the prime factors of 61772 and 61790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61772 and 61790.

How to find the GCF of 61772 and 61790?

We will first find the prime factorization of 61772 and 61790. After we will calculate the factors of 61772 and 61790 and find the biggest common factor number .

Step-1: Prime Factorization of 61772

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

61772 = 2² × 15443¹

Step-2: Prime Factorization of 61790

Prime factors of 61790 are 2, 5, 37, 167. Prime factorization of 61790 in exponential form is:

61790 = 2¹ × 5¹ × 37¹ × 167¹

Step-3: Factors of 61772

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

1, 2, 4, 15443, 30886

Step-4: Factors of 61790

List of positive integer factors of 61790 that divides 61772 without a remainder.

1, 2, 5, 10, 37, 74, 167, 185, 334, 370, 835, 1670, 6179, 12358, 30895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61772 and 61790. The biggest common factor number is the GCF number.
So the greatest common factor 61772 and 61790 is 2.

Also check out the Least Common Multiple of 61772 and 61790