What is the Greatest Common Factor of 47196 and 47215?

Greatest common factor (GCF) of 47196 and 47215 is 19.

GCF(47196,47215) = 19

We will now calculate the prime factors of 47196 and 47215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47196 and 47215.

How to find the GCF of 47196 and 47215?

We will first find the prime factorization of 47196 and 47215. After we will calculate the factors of 47196 and 47215 and find the biggest common factor number .

Step-1: Prime Factorization of 47196

Prime factors of 47196 are 2, 3, 19, 23. Prime factorization of 47196 in exponential form is:

47196 = 2² × 3³ × 19¹ × 23¹

Step-2: Prime Factorization of 47215

Prime factors of 47215 are 5, 7, 19, 71. Prime factorization of 47215 in exponential form is:

47215 = 5¹ × 7¹ × 19¹ × 71¹

Step-3: Factors of 47196

List of positive integer factors of 47196 that divides 47196 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 23, 27, 36, 38, 46, 54, 57, 69, 76, 92, 108, 114, 138, 171, 207, 228, 276, 342, 414, 437, 513, 621, 684, 828, 874, 1026, 1242, 1311, 1748, 2052, 2484, 2622, 3933, 5244, 7866, 11799, 15732, 23598

Step-4: Factors of 47215

List of positive integer factors of 47215 that divides 47196 without a remainder.

1, 5, 7, 19, 35, 71, 95, 133, 355, 497, 665, 1349, 2485, 6745, 9443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47196 and 47215. The biggest common factor number is the GCF number.
So the greatest common factor 47196 and 47215 is 19.

Also check out the Least Common Multiple of 47196 and 47215