What is the Greatest Common Factor of 35049 and 35053?

Greatest common factor (GCF) of 35049 and 35053 is 1.

GCF(35049,35053) = 1

We will now calculate the prime factors of 35049 and 35053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35049 and 35053.

How to find the GCF of 35049 and 35053?

We will first find the prime factorization of 35049 and 35053. After we will calculate the factors of 35049 and 35053 and find the biggest common factor number .

Step-1: Prime Factorization of 35049

Prime factors of 35049 are 3, 7, 1669. Prime factorization of 35049 in exponential form is:

35049 = 3¹ × 7¹ × 1669¹

Step-2: Prime Factorization of 35053

Prime factors of 35053 are 35053. Prime factorization of 35053 in exponential form is:

35053 = 35053¹

Step-3: Factors of 35049

List of positive integer factors of 35049 that divides 35049 without a remainder.

1, 3, 7, 21, 1669, 5007, 11683

Step-4: Factors of 35053

List of positive integer factors of 35053 that divides 35049 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35049 and 35053. The biggest common factor number is the GCF number.
So the greatest common factor 35049 and 35053 is 1.

Also check out the Least Common Multiple of 35049 and 35053