What is the Greatest Common Factor of 47502 and 47515?

Greatest common factor (GCF) of 47502 and 47515 is 13.

GCF(47502,47515) = 13

We will now calculate the prime factors of 47502 and 47515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47502 and 47515.

How to find the GCF of 47502 and 47515?

We will first find the prime factorization of 47502 and 47515. After we will calculate the factors of 47502 and 47515 and find the biggest common factor number .

Step-1: Prime Factorization of 47502

Prime factors of 47502 are 2, 3, 7, 13, 29. Prime factorization of 47502 in exponential form is:

47502 = 2¹ × 3² × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 47515

Prime factors of 47515 are 5, 13, 17, 43. Prime factorization of 47515 in exponential form is:

47515 = 5¹ × 13¹ × 17¹ × 43¹

Step-3: Factors of 47502

List of positive integer factors of 47502 that divides 47502 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 29, 39, 42, 58, 63, 78, 87, 91, 117, 126, 174, 182, 203, 234, 261, 273, 377, 406, 522, 546, 609, 754, 819, 1131, 1218, 1638, 1827, 2262, 2639, 3393, 3654, 5278, 6786, 7917, 15834, 23751

Step-4: Factors of 47515

List of positive integer factors of 47515 that divides 47502 without a remainder.

1, 5, 13, 17, 43, 65, 85, 215, 221, 559, 731, 1105, 2795, 3655, 9503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47502 and 47515. The biggest common factor number is the GCF number.
So the greatest common factor 47502 and 47515 is 13.

Also check out the Least Common Multiple of 47502 and 47515