What is the Greatest Common Factor of 61138 and 61155?

Greatest common factor (GCF) of 61138 and 61155 is 1.

GCF(61138,61155) = 1

We will now calculate the prime factors of 61138 and 61155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61138 and 61155.

How to find the GCF of 61138 and 61155?

We will first find the prime factorization of 61138 and 61155. After we will calculate the factors of 61138 and 61155 and find the biggest common factor number .

Step-1: Prime Factorization of 61138

Prime factors of 61138 are 2, 7, 11, 397. Prime factorization of 61138 in exponential form is:

61138 = 2¹ × 7¹ × 11¹ × 397¹

Step-2: Prime Factorization of 61155

Prime factors of 61155 are 3, 5, 151. Prime factorization of 61155 in exponential form is:

61155 = 3⁴ × 5¹ × 151¹

Step-3: Factors of 61138

List of positive integer factors of 61138 that divides 61138 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 397, 794, 2779, 4367, 5558, 8734, 30569

Step-4: Factors of 61155

List of positive integer factors of 61155 that divides 61138 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 151, 405, 453, 755, 1359, 2265, 4077, 6795, 12231, 20385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61138 and 61155. The biggest common factor number is the GCF number.
So the greatest common factor 61138 and 61155 is 1.

Also check out the Least Common Multiple of 61138 and 61155