What is the Greatest Common Factor of 61540 and 61558?

Greatest common factor (GCF) of 61540 and 61558 is 2.

GCF(61540,61558) = 2

We will now calculate the prime factors of 61540 and 61558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61540 and 61558.

How to find the GCF of 61540 and 61558?

We will first find the prime factorization of 61540 and 61558. After we will calculate the factors of 61540 and 61558 and find the biggest common factor number .

Step-1: Prime Factorization of 61540

Prime factors of 61540 are 2, 5, 17, 181. Prime factorization of 61540 in exponential form is:

61540 = 2² × 5¹ × 17¹ × 181¹

Step-2: Prime Factorization of 61558

Prime factors of 61558 are 2, 7, 4397. Prime factorization of 61558 in exponential form is:

61558 = 2¹ × 7¹ × 4397¹

Step-3: Factors of 61540

List of positive integer factors of 61540 that divides 61540 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 181, 340, 362, 724, 905, 1810, 3077, 3620, 6154, 12308, 15385, 30770

Step-4: Factors of 61558

List of positive integer factors of 61558 that divides 61540 without a remainder.

1, 2, 7, 14, 4397, 8794, 30779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61540 and 61558. The biggest common factor number is the GCF number.
So the greatest common factor 61540 and 61558 is 2.

Also check out the Least Common Multiple of 61540 and 61558