What is the Greatest Common Factor of 61132 and 61136?

Greatest common factor (GCF) of 61132 and 61136 is 4.

GCF(61132,61136) = 4

We will now calculate the prime factors of 61132 and 61136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61132 and 61136.

How to find the GCF of 61132 and 61136?

We will first find the prime factorization of 61132 and 61136. After we will calculate the factors of 61132 and 61136 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 61136

Prime factors of 61136 are 2, 3821. Prime factorization of 61136 in exponential form is:

61136 = 2⁴ × 3821¹

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 61136

List of positive integer factors of 61136 that divides 61132 without a remainder.

1, 2, 4, 8, 16, 3821, 7642, 15284, 30568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61132 and 61136. The biggest common factor number is the GCF number.
So the greatest common factor 61132 and 61136 is 4.

Also check out the Least Common Multiple of 61132 and 61136