What is the Greatest Common Factor of 49100 and 49110?

Greatest common factor (GCF) of 49100 and 49110 is 10.

GCF(49100,49110) = 10

We will now calculate the prime factors of 49100 and 49110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49100 and 49110.

How to find the GCF of 49100 and 49110?

We will first find the prime factorization of 49100 and 49110. After we will calculate the factors of 49100 and 49110 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49110

Prime factors of 49110 are 2, 3, 5, 1637. Prime factorization of 49110 in exponential form is:

49110 = 2¹ × 3¹ × 5¹ × 1637¹

Step-3: Factors of 49100

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

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

Step-4: Factors of 49110

List of positive integer factors of 49110 that divides 49100 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1637, 3274, 4911, 8185, 9822, 16370, 24555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49100 and 49110. The biggest common factor number is the GCF number.
So the greatest common factor 49100 and 49110 is 10.

Also check out the Least Common Multiple of 49100 and 49110