What is the Greatest Common Factor of 60032 and 60040?

Greatest common factor (GCF) of 60032 and 60040 is 8.

GCF(60032,60040) = 8

We will now calculate the prime factors of 60032 and 60040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60032 and 60040.

How to find the GCF of 60032 and 60040?

We will first find the prime factorization of 60032 and 60040. After we will calculate the factors of 60032 and 60040 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 60040

Prime factors of 60040 are 2, 5, 19, 79. Prime factorization of 60040 in exponential form is:

60040 = 2³ × 5¹ × 19¹ × 79¹

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 60040

List of positive integer factors of 60040 that divides 60032 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 79, 95, 152, 158, 190, 316, 380, 395, 632, 760, 790, 1501, 1580, 3002, 3160, 6004, 7505, 12008, 15010, 30020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60032 and 60040. The biggest common factor number is the GCF number.
So the greatest common factor 60032 and 60040 is 8.

Also check out the Least Common Multiple of 60032 and 60040