What is the Greatest Common Factor of 49460 and 49475?

Greatest common factor (GCF) of 49460 and 49475 is 5.

GCF(49460,49475) = 5

We will now calculate the prime factors of 49460 and 49475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49460 and 49475.

How to find the GCF of 49460 and 49475?

We will first find the prime factorization of 49460 and 49475. After we will calculate the factors of 49460 and 49475 and find the biggest common factor number .

Step-1: Prime Factorization of 49460

Prime factors of 49460 are 2, 5, 2473. Prime factorization of 49460 in exponential form is:

49460 = 2² × 5¹ × 2473¹

Step-2: Prime Factorization of 49475

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

49475 = 5² × 1979¹

Step-3: Factors of 49460

List of positive integer factors of 49460 that divides 49460 without a remainder.

1, 2, 4, 5, 10, 20, 2473, 4946, 9892, 12365, 24730

Step-4: Factors of 49475

List of positive integer factors of 49475 that divides 49460 without a remainder.

1, 5, 25, 1979, 9895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49460 and 49475. The biggest common factor number is the GCF number.
So the greatest common factor 49460 and 49475 is 5.

Also check out the Least Common Multiple of 49460 and 49475