What is the Greatest Common Factor of 61133 and 61149?

Greatest common factor (GCF) of 61133 and 61149 is 1.

GCF(61133,61149) = 1

We will now calculate the prime factors of 61133 and 61149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61133 and 61149.

How to find the GCF of 61133 and 61149?

We will first find the prime factorization of 61133 and 61149. After we will calculate the factors of 61133 and 61149 and find the biggest common factor number .

Step-1: Prime Factorization of 61133

Prime factors of 61133 are 113, 541. Prime factorization of 61133 in exponential form is:

61133 = 113¹ × 541¹

Step-2: Prime Factorization of 61149

Prime factors of 61149 are 3, 11, 17, 109. Prime factorization of 61149 in exponential form is:

61149 = 3¹ × 11¹ × 17¹ × 109¹

Step-3: Factors of 61133

List of positive integer factors of 61133 that divides 61133 without a remainder.

1, 113, 541

Step-4: Factors of 61149

List of positive integer factors of 61149 that divides 61133 without a remainder.

1, 3, 11, 17, 33, 51, 109, 187, 327, 561, 1199, 1853, 3597, 5559, 20383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61133 and 61149. The biggest common factor number is the GCF number.
So the greatest common factor 61133 and 61149 is 1.

Also check out the Least Common Multiple of 61133 and 61149