What is the Greatest Common Factor of 60192 and 60209?

Greatest common factor (GCF) of 60192 and 60209 is 1.

GCF(60192,60209) = 1

We will now calculate the prime factors of 60192 and 60209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60192 and 60209.

How to find the GCF of 60192 and 60209?

We will first find the prime factorization of 60192 and 60209. After we will calculate the factors of 60192 and 60209 and find the biggest common factor number .

Step-1: Prime Factorization of 60192

Prime factors of 60192 are 2, 3, 11, 19. Prime factorization of 60192 in exponential form is:

60192 = 2⁵ × 3² × 11¹ × 19¹

Step-2: Prime Factorization of 60209

Prime factors of 60209 are 60209. Prime factorization of 60209 in exponential form is:

60209 = 60209¹

Step-3: Factors of 60192

List of positive integer factors of 60192 that divides 60192 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 19, 22, 24, 32, 33, 36, 38, 44, 48, 57, 66, 72, 76, 88, 96, 99, 114, 132, 144, 152, 171, 176, 198, 209, 228, 264, 288, 304, 342, 352, 396, 418, 456, 528, 608, 627, 684, 792, 836, 912, 1056, 1254, 1368, 1584, 1672, 1824, 1881, 2508, 2736, 3168, 3344, 3762, 5016, 5472, 6688, 7524, 10032, 15048, 20064, 30096

Step-4: Factors of 60209

List of positive integer factors of 60209 that divides 60192 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60192 and 60209. The biggest common factor number is the GCF number.
So the greatest common factor 60192 and 60209 is 1.

Also check out the Least Common Multiple of 60192 and 60209