What is the Greatest Common Factor of 61409 and 61422?

Greatest common factor (GCF) of 61409 and 61422 is 1.

GCF(61409,61422) = 1

We will now calculate the prime factors of 61409 and 61422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61409 and 61422.

How to find the GCF of 61409 and 61422?

We will first find the prime factorization of 61409 and 61422. After we will calculate the factors of 61409 and 61422 and find the biggest common factor number .

Step-1: Prime Factorization of 61409

Prime factors of 61409 are 61409. Prime factorization of 61409 in exponential form is:

61409 = 61409¹

Step-2: Prime Factorization of 61422

Prime factors of 61422 are 2, 3, 29, 353. Prime factorization of 61422 in exponential form is:

61422 = 2¹ × 3¹ × 29¹ × 353¹

Step-3: Factors of 61409

List of positive integer factors of 61409 that divides 61409 without a remainder.

Step-4: Factors of 61422

List of positive integer factors of 61422 that divides 61409 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 353, 706, 1059, 2118, 10237, 20474, 30711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61409 and 61422. The biggest common factor number is the GCF number.
So the greatest common factor 61409 and 61422 is 1.

Also check out the Least Common Multiple of 61409 and 61422