What is the Greatest Common Factor of 49026 and 49035?

Greatest common factor (GCF) of 49026 and 49035 is 3.

GCF(49026,49035) = 3

We will now calculate the prime factors of 49026 and 49035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49026 and 49035.

How to find the GCF of 49026 and 49035?

We will first find the prime factorization of 49026 and 49035. After we will calculate the factors of 49026 and 49035 and find the biggest common factor number .

Step-1: Prime Factorization of 49026

Prime factors of 49026 are 2, 3, 8171. Prime factorization of 49026 in exponential form is:

49026 = 2¹ × 3¹ × 8171¹

Step-2: 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-3: Factors of 49026

List of positive integer factors of 49026 that divides 49026 without a remainder.

1, 2, 3, 6, 8171, 16342, 24513

Step-4: Factors of 49035

List of positive integer factors of 49035 that divides 49026 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49026 and 49035. The biggest common factor number is the GCF number.
So the greatest common factor 49026 and 49035 is 3.

Also check out the Least Common Multiple of 49026 and 49035