What is the Greatest Common Factor of 60047 and 60064?

Greatest common factor (GCF) of 60047 and 60064 is 1.

GCF(60047,60064) = 1

We will now calculate the prime factors of 60047 and 60064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60047 and 60064.

How to find the GCF of 60047 and 60064?

We will first find the prime factorization of 60047 and 60064. After we will calculate the factors of 60047 and 60064 and find the biggest common factor number .

Step-1: Prime Factorization of 60047

Prime factors of 60047 are 13, 31, 149. Prime factorization of 60047 in exponential form is:

60047 = 13¹ × 31¹ × 149¹

Step-2: Prime Factorization of 60064

Prime factors of 60064 are 2, 1877. Prime factorization of 60064 in exponential form is:

60064 = 2⁵ × 1877¹

Step-3: Factors of 60047

List of positive integer factors of 60047 that divides 60047 without a remainder.

1, 13, 31, 149, 403, 1937, 4619

Step-4: Factors of 60064

List of positive integer factors of 60064 that divides 60047 without a remainder.

1, 2, 4, 8, 16, 32, 1877, 3754, 7508, 15016, 30032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60047 and 60064. The biggest common factor number is the GCF number.
So the greatest common factor 60047 and 60064 is 1.

Also check out the Least Common Multiple of 60047 and 60064