What is the Greatest Common Factor of 69443 and 69454?

Greatest common factor (GCF) of 69443 and 69454 is 11.

GCF(69443,69454) = 11

We will now calculate the prime factors of 69443 and 69454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69443 and 69454.

How to find the GCF of 69443 and 69454?

We will first find the prime factorization of 69443 and 69454. After we will calculate the factors of 69443 and 69454 and find the biggest common factor number .

Step-1: Prime Factorization of 69443

Prime factors of 69443 are 11, 59, 107. Prime factorization of 69443 in exponential form is:

69443 = 11¹ × 59¹ × 107¹

Step-2: Prime Factorization of 69454

Prime factors of 69454 are 2, 7, 11, 41. Prime factorization of 69454 in exponential form is:

69454 = 2¹ × 7¹ × 11² × 41¹

Step-3: Factors of 69443

List of positive integer factors of 69443 that divides 69443 without a remainder.

1, 11, 59, 107, 649, 1177, 6313

Step-4: Factors of 69454

List of positive integer factors of 69454 that divides 69443 without a remainder.

1, 2, 7, 11, 14, 22, 41, 77, 82, 121, 154, 242, 287, 451, 574, 847, 902, 1694, 3157, 4961, 6314, 9922, 34727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69443 and 69454. The biggest common factor number is the GCF number.
So the greatest common factor 69443 and 69454 is 11.

Also check out the Least Common Multiple of 69443 and 69454