What is the Greatest Common Factor of 60032 and 60046?

Greatest common factor (GCF) of 60032 and 60046 is 14.

GCF(60032,60046) = 14

We will now calculate the prime factors of 60032 and 60046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60032 and 60046.

How to find the GCF of 60032 and 60046?

We will first find the prime factorization of 60032 and 60046. After we will calculate the factors of 60032 and 60046 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60046

Prime factors of 60046 are 2, 7, 4289. Prime factorization of 60046 in exponential form is:

60046 = 2¹ × 7¹ × 4289¹

Step-3: Factors of 60032

List of positive integer factors of 60032 that divides 60032 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

Step-4: Factors of 60046

List of positive integer factors of 60046 that divides 60032 without a remainder.

1, 2, 7, 14, 4289, 8578, 30023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60032 and 60046. The biggest common factor number is the GCF number.
So the greatest common factor 60032 and 60046 is 14.

Also check out the Least Common Multiple of 60032 and 60046