What is the Greatest Common Factor of 49475 and 49480?

Greatest common factor (GCF) of 49475 and 49480 is 5.

GCF(49475,49480) = 5

We will now calculate the prime factors of 49475 and 49480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49475 and 49480.

How to find the GCF of 49475 and 49480?

We will first find the prime factorization of 49475 and 49480. After we will calculate the factors of 49475 and 49480 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 49480

Prime factors of 49480 are 2, 5, 1237. Prime factorization of 49480 in exponential form is:

49480 = 2³ × 5¹ × 1237¹

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 49480

List of positive integer factors of 49480 that divides 49475 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1237, 2474, 4948, 6185, 9896, 12370, 24740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49475 and 49480. The biggest common factor number is the GCF number.
So the greatest common factor 49475 and 49480 is 5.

Also check out the Least Common Multiple of 49475 and 49480