What is the Greatest Common Factor of 61185 and 61204?

Greatest common factor (GCF) of 61185 and 61204 is 1.

GCF(61185,61204) = 1

We will now calculate the prime factors of 61185 and 61204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61185 and 61204.

How to find the GCF of 61185 and 61204?

We will first find the prime factorization of 61185 and 61204. After we will calculate the factors of 61185 and 61204 and find the biggest common factor number .

Step-1: Prime Factorization of 61185

Prime factors of 61185 are 3, 5, 4079. Prime factorization of 61185 in exponential form is:

61185 = 3¹ × 5¹ × 4079¹

Step-2: Prime Factorization of 61204

Prime factors of 61204 are 2, 11, 13, 107. Prime factorization of 61204 in exponential form is:

61204 = 2² × 11¹ × 13¹ × 107¹

Step-3: Factors of 61185

List of positive integer factors of 61185 that divides 61185 without a remainder.

1, 3, 5, 15, 4079, 12237, 20395

Step-4: Factors of 61204

List of positive integer factors of 61204 that divides 61185 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 107, 143, 214, 286, 428, 572, 1177, 1391, 2354, 2782, 4708, 5564, 15301, 30602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61185 and 61204. The biggest common factor number is the GCF number.
So the greatest common factor 61185 and 61204 is 1.

Also check out the Least Common Multiple of 61185 and 61204