What is the Greatest Common Factor of 49114 and 49126?

Greatest common factor (GCF) of 49114 and 49126 is 2.

GCF(49114,49126) = 2

We will now calculate the prime factors of 49114 and 49126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49114 and 49126.

How to find the GCF of 49114 and 49126?

We will first find the prime factorization of 49114 and 49126. After we will calculate the factors of 49114 and 49126 and find the biggest common factor number .

Step-1: Prime Factorization of 49114

Prime factors of 49114 are 2, 13, 1889. Prime factorization of 49114 in exponential form is:

49114 = 2¹ × 13¹ × 1889¹

Step-2: Prime Factorization of 49126

Prime factors of 49126 are 2, 7, 11, 29. Prime factorization of 49126 in exponential form is:

49126 = 2¹ × 7¹ × 11² × 29¹

Step-3: Factors of 49114

List of positive integer factors of 49114 that divides 49114 without a remainder.

1, 2, 13, 26, 1889, 3778, 24557

Step-4: Factors of 49126

List of positive integer factors of 49126 that divides 49114 without a remainder.

1, 2, 7, 11, 14, 22, 29, 58, 77, 121, 154, 203, 242, 319, 406, 638, 847, 1694, 2233, 3509, 4466, 7018, 24563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49114 and 49126. The biggest common factor number is the GCF number.
So the greatest common factor 49114 and 49126 is 2.

Also check out the Least Common Multiple of 49114 and 49126