What is the Greatest Common Factor of 49490 and 49495?

Greatest common factor (GCF) of 49490 and 49495 is 5.

GCF(49490,49495) = 5

We will now calculate the prime factors of 49490 and 49495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49490 and 49495.

How to find the GCF of 49490 and 49495?

We will first find the prime factorization of 49490 and 49495. After we will calculate the factors of 49490 and 49495 and find the biggest common factor number .

Step-1: Prime Factorization of 49490

Prime factors of 49490 are 2, 5, 7, 101. Prime factorization of 49490 in exponential form is:

49490 = 2¹ × 5¹ × 7² × 101¹

Step-2: Prime Factorization of 49495

Prime factors of 49495 are 5, 19, 521. Prime factorization of 49495 in exponential form is:

49495 = 5¹ × 19¹ × 521¹

Step-3: Factors of 49490

List of positive integer factors of 49490 that divides 49490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 101, 202, 245, 490, 505, 707, 1010, 1414, 3535, 4949, 7070, 9898, 24745

Step-4: Factors of 49495

List of positive integer factors of 49495 that divides 49490 without a remainder.

1, 5, 19, 95, 521, 2605, 9899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49490 and 49495. The biggest common factor number is the GCF number.
So the greatest common factor 49490 and 49495 is 5.

Also check out the Least Common Multiple of 49490 and 49495