What is the Greatest Common Factor of 50102 and 50112?

Greatest common factor (GCF) of 50102 and 50112 is 2.

GCF(50102,50112) = 2

We will now calculate the prime factors of 50102 and 50112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50102 and 50112.

How to find the GCF of 50102 and 50112?

We will first find the prime factorization of 50102 and 50112. After we will calculate the factors of 50102 and 50112 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 50112

Prime factors of 50112 are 2, 3, 29. Prime factorization of 50112 in exponential form is:

50112 = 2⁶ × 3³ × 29¹

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 50112

List of positive integer factors of 50112 that divides 50102 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48, 54, 58, 64, 72, 87, 96, 108, 116, 144, 174, 192, 216, 232, 261, 288, 348, 432, 464, 522, 576, 696, 783, 864, 928, 1044, 1392, 1566, 1728, 1856, 2088, 2784, 3132, 4176, 5568, 6264, 8352, 12528, 16704, 25056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50102 and 50112. The biggest common factor number is the GCF number.
So the greatest common factor 50102 and 50112 is 2.

Also check out the Least Common Multiple of 50102 and 50112