What is the Greatest Common Factor of 61204 and 61209?

Greatest common factor (GCF) of 61204 and 61209 is 1.

GCF(61204,61209) = 1

We will now calculate the prime factors of 61204 and 61209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61204 and 61209.

How to find the GCF of 61204 and 61209?

We will first find the prime factorization of 61204 and 61209. After we will calculate the factors of 61204 and 61209 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61209

Prime factors of 61209 are 3, 2267. Prime factorization of 61209 in exponential form is:

61209 = 3³ × 2267¹

Step-3: Factors of 61204

List of positive integer factors of 61204 that divides 61204 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

Step-4: Factors of 61209

List of positive integer factors of 61209 that divides 61204 without a remainder.

1, 3, 9, 27, 2267, 6801, 20403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61204 and 61209. The biggest common factor number is the GCF number.
So the greatest common factor 61204 and 61209 is 1.

Also check out the Least Common Multiple of 61204 and 61209