What is the Greatest Common Factor of 59411 and 59422?

Greatest common factor (GCF) of 59411 and 59422 is 11.

GCF(59411,59422) = 11

We will now calculate the prime factors of 59411 and 59422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59411 and 59422.

How to find the GCF of 59411 and 59422?

We will first find the prime factorization of 59411 and 59422. After we will calculate the factors of 59411 and 59422 and find the biggest common factor number .

Step-1: Prime Factorization of 59411

Prime factors of 59411 are 11, 491. Prime factorization of 59411 in exponential form is:

59411 = 11² × 491¹

Step-2: Prime Factorization of 59422

Prime factors of 59422 are 2, 11, 37, 73. Prime factorization of 59422 in exponential form is:

59422 = 2¹ × 11¹ × 37¹ × 73¹

Step-3: Factors of 59411

List of positive integer factors of 59411 that divides 59411 without a remainder.

1, 11, 121, 491, 5401

Step-4: Factors of 59422

List of positive integer factors of 59422 that divides 59411 without a remainder.

1, 2, 11, 22, 37, 73, 74, 146, 407, 803, 814, 1606, 2701, 5402, 29711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59411 and 59422. The biggest common factor number is the GCF number.
So the greatest common factor 59411 and 59422 is 11.

Also check out the Least Common Multiple of 59411 and 59422