What is the Greatest Common Factor of 60417 and 60434?

Greatest common factor (GCF) of 60417 and 60434 is 1.

GCF(60417,60434) = 1

We will now calculate the prime factors of 60417 and 60434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60417 and 60434.

How to find the GCF of 60417 and 60434?

We will first find the prime factorization of 60417 and 60434. After we will calculate the factors of 60417 and 60434 and find the biggest common factor number .

Step-1: Prime Factorization of 60417

Prime factors of 60417 are 3, 7, 137. Prime factorization of 60417 in exponential form is:

60417 = 3² × 7² × 137¹

Step-2: Prime Factorization of 60434

Prime factors of 60434 are 2, 11, 41, 67. Prime factorization of 60434 in exponential form is:

60434 = 2¹ × 11¹ × 41¹ × 67¹

Step-3: Factors of 60417

List of positive integer factors of 60417 that divides 60417 without a remainder.

1, 3, 7, 9, 21, 49, 63, 137, 147, 411, 441, 959, 1233, 2877, 6713, 8631, 20139

Step-4: Factors of 60434

List of positive integer factors of 60434 that divides 60417 without a remainder.

1, 2, 11, 22, 41, 67, 82, 134, 451, 737, 902, 1474, 2747, 5494, 30217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60417 and 60434. The biggest common factor number is the GCF number.
So the greatest common factor 60417 and 60434 is 1.

Also check out the Least Common Multiple of 60417 and 60434