What is the Greatest Common Factor of 49035 and 49050?

Greatest common factor (GCF) of 49035 and 49050 is 15.

GCF(49035,49050) = 15

We will now calculate the prime factors of 49035 and 49050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49035 and 49050.

How to find the GCF of 49035 and 49050?

We will first find the prime factorization of 49035 and 49050. After we will calculate the factors of 49035 and 49050 and find the biggest common factor number .

Step-1: Prime Factorization of 49035

Prime factors of 49035 are 3, 5, 7, 467. Prime factorization of 49035 in exponential form is:

49035 = 3¹ × 5¹ × 7¹ × 467¹

Step-2: Prime Factorization of 49050

Prime factors of 49050 are 2, 3, 5, 109. Prime factorization of 49050 in exponential form is:

49050 = 2¹ × 3² × 5² × 109¹

Step-3: Factors of 49035

List of positive integer factors of 49035 that divides 49035 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 467, 1401, 2335, 3269, 7005, 9807, 16345

Step-4: Factors of 49050

List of positive integer factors of 49050 that divides 49035 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 109, 150, 218, 225, 327, 450, 545, 654, 981, 1090, 1635, 1962, 2725, 3270, 4905, 5450, 8175, 9810, 16350, 24525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49035 and 49050. The biggest common factor number is the GCF number.
So the greatest common factor 49035 and 49050 is 15.

Also check out the Least Common Multiple of 49035 and 49050