What is the Greatest Common Factor of 49035 and 49053?

Greatest common factor (GCF) of 49035 and 49053 is 3.

GCF(49035,49053) = 3

We will now calculate the prime factors of 49035 and 49053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49035 and 49053.

How to find the GCF of 49035 and 49053?

We will first find the prime factorization of 49035 and 49053. After we will calculate the factors of 49035 and 49053 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 49053

Prime factors of 49053 are 3, 83, 197. Prime factorization of 49053 in exponential form is:

49053 = 3¹ × 83¹ × 197¹

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 49053

List of positive integer factors of 49053 that divides 49035 without a remainder.

1, 3, 83, 197, 249, 591, 16351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49035 and 49053. The biggest common factor number is the GCF number.
So the greatest common factor 49035 and 49053 is 3.

Also check out the Least Common Multiple of 49035 and 49053