What is the Greatest Common Factor of 49474 and 49492?

Greatest common factor (GCF) of 49474 and 49492 is 2.

GCF(49474,49492) = 2

We will now calculate the prime factors of 49474 and 49492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49474 and 49492.

How to find the GCF of 49474 and 49492?

We will first find the prime factorization of 49474 and 49492. After we will calculate the factors of 49474 and 49492 and find the biggest common factor number .

Step-1: Prime Factorization of 49474

Prime factors of 49474 are 2, 29, 853. Prime factorization of 49474 in exponential form is:

49474 = 2¹ × 29¹ × 853¹

Step-2: Prime Factorization of 49492

Prime factors of 49492 are 2, 12373. Prime factorization of 49492 in exponential form is:

49492 = 2² × 12373¹

Step-3: Factors of 49474

List of positive integer factors of 49474 that divides 49474 without a remainder.

1, 2, 29, 58, 853, 1706, 24737

Step-4: Factors of 49492

List of positive integer factors of 49492 that divides 49474 without a remainder.

1, 2, 4, 12373, 24746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49474 and 49492. The biggest common factor number is the GCF number.
So the greatest common factor 49474 and 49492 is 2.

Also check out the Least Common Multiple of 49474 and 49492