What is the Greatest Common Factor of 60021 and 60032?

Greatest common factor (GCF) of 60021 and 60032 is 1.

GCF(60021,60032) = 1

We will now calculate the prime factors of 60021 and 60032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60021 and 60032.

How to find the GCF of 60021 and 60032?

We will first find the prime factorization of 60021 and 60032. After we will calculate the factors of 60021 and 60032 and find the biggest common factor number .

Step-1: Prime Factorization of 60021

Prime factors of 60021 are 3, 13, 19. Prime factorization of 60021 in exponential form is:

60021 = 3⁵ × 13¹ × 19¹

Step-2: Prime Factorization of 60032

Prime factors of 60032 are 2, 7, 67. Prime factorization of 60032 in exponential form is:

60032 = 2⁷ × 7¹ × 67¹

Step-3: Factors of 60021

List of positive integer factors of 60021 that divides 60021 without a remainder.

1, 3, 9, 13, 19, 27, 39, 57, 81, 117, 171, 243, 247, 351, 513, 741, 1053, 1539, 2223, 3159, 4617, 6669, 20007

Step-4: Factors of 60032

List of positive integer factors of 60032 that divides 60021 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 128, 134, 224, 268, 448, 469, 536, 896, 938, 1072, 1876, 2144, 3752, 4288, 7504, 8576, 15008, 30016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60021 and 60032. The biggest common factor number is the GCF number.
So the greatest common factor 60021 and 60032 is 1.

Also check out the Least Common Multiple of 60021 and 60032