What is the Greatest Common Factor of 49095 and 49100?

Greatest common factor (GCF) of 49095 and 49100 is 5.

GCF(49095,49100) = 5

We will now calculate the prime factors of 49095 and 49100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49095 and 49100.

How to find the GCF of 49095 and 49100?

We will first find the prime factorization of 49095 and 49100. After we will calculate the factors of 49095 and 49100 and find the biggest common factor number .

Step-1: Prime Factorization of 49095

Prime factors of 49095 are 3, 5, 1091. Prime factorization of 49095 in exponential form is:

49095 = 3² × 5¹ × 1091¹

Step-2: Prime Factorization of 49100

Prime factors of 49100 are 2, 5, 491. Prime factorization of 49100 in exponential form is:

49100 = 2² × 5² × 491¹

Step-3: Factors of 49095

List of positive integer factors of 49095 that divides 49095 without a remainder.

1, 3, 5, 9, 15, 45, 1091, 3273, 5455, 9819, 16365

Step-4: Factors of 49100

List of positive integer factors of 49100 that divides 49095 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 491, 982, 1964, 2455, 4910, 9820, 12275, 24550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49095 and 49100. The biggest common factor number is the GCF number.
So the greatest common factor 49095 and 49100 is 5.

Also check out the Least Common Multiple of 49095 and 49100