What is the Greatest Common Factor of 49475 and 49489?

Greatest common factor (GCF) of 49475 and 49489 is 1.

GCF(49475,49489) = 1

We will now calculate the prime factors of 49475 and 49489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49475 and 49489.

How to find the GCF of 49475 and 49489?

We will first find the prime factorization of 49475 and 49489. After we will calculate the factors of 49475 and 49489 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 49489

Prime factors of 49489 are 11, 409. Prime factorization of 49489 in exponential form is:

49489 = 11² × 409¹

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 49489

List of positive integer factors of 49489 that divides 49475 without a remainder.

1, 11, 121, 409, 4499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49475 and 49489. The biggest common factor number is the GCF number.
So the greatest common factor 49475 and 49489 is 1.

Also check out the Least Common Multiple of 49475 and 49489