What is the Greatest Common Factor of 61132 and 61150?

Greatest common factor (GCF) of 61132 and 61150 is 2.

GCF(61132,61150) = 2

We will now calculate the prime factors of 61132 and 61150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61132 and 61150.

How to find the GCF of 61132 and 61150?

We will first find the prime factorization of 61132 and 61150. After we will calculate the factors of 61132 and 61150 and find the biggest common factor number .

Step-1: Prime Factorization of 61132

Prime factors of 61132 are 2, 17, 29, 31. Prime factorization of 61132 in exponential form is:

61132 = 2² × 17¹ × 29¹ × 31¹

Step-2: Prime Factorization of 61150

Prime factors of 61150 are 2, 5, 1223. Prime factorization of 61150 in exponential form is:

61150 = 2¹ × 5² × 1223¹

Step-3: Factors of 61132

List of positive integer factors of 61132 that divides 61132 without a remainder.

1, 2, 4, 17, 29, 31, 34, 58, 62, 68, 116, 124, 493, 527, 899, 986, 1054, 1798, 1972, 2108, 3596, 15283, 30566

Step-4: Factors of 61150

List of positive integer factors of 61150 that divides 61132 without a remainder.

1, 2, 5, 10, 25, 50, 1223, 2446, 6115, 12230, 30575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61132 and 61150. The biggest common factor number is the GCF number.
So the greatest common factor 61132 and 61150 is 2.

Also check out the Least Common Multiple of 61132 and 61150