What is the Greatest Common Factor of 50102 and 50115?

Greatest common factor (GCF) of 50102 and 50115 is 13.

GCF(50102,50115) = 13

We will now calculate the prime factors of 50102 and 50115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50102 and 50115.

How to find the GCF of 50102 and 50115?

We will first find the prime factorization of 50102 and 50115. After we will calculate the factors of 50102 and 50115 and find the biggest common factor number .

Step-1: Prime Factorization of 50102

Prime factors of 50102 are 2, 13, 41, 47. Prime factorization of 50102 in exponential form is:

50102 = 2¹ × 13¹ × 41¹ × 47¹

Step-2: Prime Factorization of 50115

Prime factors of 50115 are 3, 5, 13, 257. Prime factorization of 50115 in exponential form is:

50115 = 3¹ × 5¹ × 13¹ × 257¹

Step-3: Factors of 50102

List of positive integer factors of 50102 that divides 50102 without a remainder.

1, 2, 13, 26, 41, 47, 82, 94, 533, 611, 1066, 1222, 1927, 3854, 25051

Step-4: Factors of 50115

List of positive integer factors of 50115 that divides 50102 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 257, 771, 1285, 3341, 3855, 10023, 16705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50102 and 50115. The biggest common factor number is the GCF number.
So the greatest common factor 50102 and 50115 is 13.

Also check out the Least Common Multiple of 50102 and 50115