What is the Greatest Common Factor of 49475 and 49490?

Greatest common factor (GCF) of 49475 and 49490 is 5.

GCF(49475,49490) = 5

We will now calculate the prime factors of 49475 and 49490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49475 and 49490.

How to find the GCF of 49475 and 49490?

We will first find the prime factorization of 49475 and 49490. After we will calculate the factors of 49475 and 49490 and find the biggest common factor number .

Step-1: Prime Factorization of 49475

Prime factors of 49475 are 5, 1979. Prime factorization of 49475 in exponential form is:

49475 = 5² × 1979¹

Step-2: 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-3: Factors of 49475

List of positive integer factors of 49475 that divides 49475 without a remainder.

1, 5, 25, 1979, 9895

Step-4: Factors of 49490

List of positive integer factors of 49490 that divides 49475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49475 and 49490. The biggest common factor number is the GCF number.
So the greatest common factor 49475 and 49490 is 5.

Also check out the Least Common Multiple of 49475 and 49490