What is the Greatest Common Factor of 60407 and 60424?

Greatest common factor (GCF) of 60407 and 60424 is 1.

GCF(60407,60424) = 1

We will now calculate the prime factors of 60407 and 60424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60407 and 60424.

How to find the GCF of 60407 and 60424?

We will first find the prime factorization of 60407 and 60424. After we will calculate the factors of 60407 and 60424 and find the biggest common factor number .

Step-1: Prime Factorization of 60407

Prime factors of 60407 are 29, 2083. Prime factorization of 60407 in exponential form is:

60407 = 29¹ × 2083¹

Step-2: Prime Factorization of 60424

Prime factors of 60424 are 2, 7, 13, 83. Prime factorization of 60424 in exponential form is:

60424 = 2³ × 7¹ × 13¹ × 83¹

Step-3: Factors of 60407

List of positive integer factors of 60407 that divides 60407 without a remainder.

1, 29, 2083

Step-4: Factors of 60424

List of positive integer factors of 60424 that divides 60407 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 83, 91, 104, 166, 182, 332, 364, 581, 664, 728, 1079, 1162, 2158, 2324, 4316, 4648, 7553, 8632, 15106, 30212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60407 and 60424. The biggest common factor number is the GCF number.
So the greatest common factor 60407 and 60424 is 1.

Also check out the Least Common Multiple of 60407 and 60424