What is the Greatest Common Factor of 50098 and 50102?

Greatest common factor (GCF) of 50098 and 50102 is 2.

GCF(50098,50102) = 2

We will now calculate the prime factors of 50098 and 50102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50098 and 50102.

How to find the GCF of 50098 and 50102?

We will first find the prime factorization of 50098 and 50102. After we will calculate the factors of 50098 and 50102 and find the biggest common factor number .

Step-1: Prime Factorization of 50098

Prime factors of 50098 are 2, 37, 677. Prime factorization of 50098 in exponential form is:

50098 = 2¹ × 37¹ × 677¹

Step-2: 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-3: Factors of 50098

List of positive integer factors of 50098 that divides 50098 without a remainder.

1, 2, 37, 74, 677, 1354, 25049

Step-4: Factors of 50102

List of positive integer factors of 50102 that divides 50098 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50098 and 50102. The biggest common factor number is the GCF number.
So the greatest common factor 50098 and 50102 is 2.

Also check out the Least Common Multiple of 50098 and 50102