What is the Greatest Common Factor of 50098 and 50107?

Greatest common factor (GCF) of 50098 and 50107 is 1.

GCF(50098,50107) = 1

We will now calculate the prime factors of 50098 and 50107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50098 and 50107.

How to find the GCF of 50098 and 50107?

We will first find the prime factorization of 50098 and 50107. After we will calculate the factors of 50098 and 50107 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 50107

Prime factors of 50107 are 89, 563. Prime factorization of 50107 in exponential form is:

50107 = 89¹ × 563¹

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 50107

List of positive integer factors of 50107 that divides 50098 without a remainder.

1, 89, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50098 and 50107. The biggest common factor number is the GCF number.
So the greatest common factor 50098 and 50107 is 1.

Also check out the Least Common Multiple of 50098 and 50107