What is the Greatest Common Factor of 61138 and 61158?

Greatest common factor (GCF) of 61138 and 61158 is 2.

GCF(61138,61158) = 2

We will now calculate the prime factors of 61138 and 61158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61138 and 61158.

How to find the GCF of 61138 and 61158?

We will first find the prime factorization of 61138 and 61158. After we will calculate the factors of 61138 and 61158 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 61158

Prime factors of 61158 are 2, 3, 10193. Prime factorization of 61158 in exponential form is:

61158 = 2¹ × 3¹ × 10193¹

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 61158

List of positive integer factors of 61158 that divides 61138 without a remainder.

1, 2, 3, 6, 10193, 20386, 30579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61138 and 61158. The biggest common factor number is the GCF number.
So the greatest common factor 61138 and 61158 is 2.

Also check out the Least Common Multiple of 61138 and 61158