What is the Greatest Common Factor of 53438 and 53449?

Greatest common factor (GCF) of 53438 and 53449 is 11.

GCF(53438,53449) = 11

We will now calculate the prime factors of 53438 and 53449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53438 and 53449.

How to find the GCF of 53438 and 53449?

We will first find the prime factorization of 53438 and 53449. After we will calculate the factors of 53438 and 53449 and find the biggest common factor number .

Step-1: Prime Factorization of 53438

Prime factors of 53438 are 2, 7, 11, 347. Prime factorization of 53438 in exponential form is:

53438 = 2¹ × 7¹ × 11¹ × 347¹

Step-2: Prime Factorization of 53449

Prime factors of 53449 are 11, 43, 113. Prime factorization of 53449 in exponential form is:

53449 = 11¹ × 43¹ × 113¹

Step-3: Factors of 53438

List of positive integer factors of 53438 that divides 53438 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 347, 694, 2429, 3817, 4858, 7634, 26719

Step-4: Factors of 53449

List of positive integer factors of 53449 that divides 53438 without a remainder.

1, 11, 43, 113, 473, 1243, 4859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53438 and 53449. The biggest common factor number is the GCF number.
So the greatest common factor 53438 and 53449 is 11.

Also check out the Least Common Multiple of 53438 and 53449