What is the Greatest Common Factor of 61189 and 61200?

Greatest common factor (GCF) of 61189 and 61200 is 1.

GCF(61189,61200) = 1

We will now calculate the prime factors of 61189 and 61200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61189 and 61200.

How to find the GCF of 61189 and 61200?

We will first find the prime factorization of 61189 and 61200. After we will calculate the factors of 61189 and 61200 and find the biggest common factor number .

Step-1: Prime Factorization of 61189

Prime factors of 61189 are 43, 1423. Prime factorization of 61189 in exponential form is:

61189 = 43¹ × 1423¹

Step-2: Prime Factorization of 61200

Prime factors of 61200 are 2, 3, 5, 17. Prime factorization of 61200 in exponential form is:

61200 = 2⁴ × 3² × 5² × 17¹

Step-3: Factors of 61189

List of positive integer factors of 61189 that divides 61189 without a remainder.

1, 43, 1423

Step-4: Factors of 61200

List of positive integer factors of 61200 that divides 61189 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 25, 30, 34, 36, 40, 45, 48, 50, 51, 60, 68, 72, 75, 80, 85, 90, 100, 102, 120, 136, 144, 150, 153, 170, 180, 200, 204, 225, 240, 255, 272, 300, 306, 340, 360, 400, 408, 425, 450, 510, 600, 612, 680, 720, 765, 816, 850, 900, 1020, 1200, 1224, 1275, 1360, 1530, 1700, 1800, 2040, 2448, 2550, 3060, 3400, 3600, 3825, 4080, 5100, 6120, 6800, 7650, 10200, 12240, 15300, 20400, 30600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61189 and 61200. The biggest common factor number is the GCF number.
So the greatest common factor 61189 and 61200 is 1.

Also check out the Least Common Multiple of 61189 and 61200