What is the Greatest Common Factor of 48013 and 48032?

Greatest common factor (GCF) of 48013 and 48032 is 19.

GCF(48013,48032) = 19

We will now calculate the prime factors of 48013 and 48032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48013 and 48032.

How to find the GCF of 48013 and 48032?

We will first find the prime factorization of 48013 and 48032. After we will calculate the factors of 48013 and 48032 and find the biggest common factor number .

Step-1: Prime Factorization of 48013

Prime factors of 48013 are 7, 19. Prime factorization of 48013 in exponential form is:

48013 = 7¹ × 19³

Step-2: Prime Factorization of 48032

Prime factors of 48032 are 2, 19, 79. Prime factorization of 48032 in exponential form is:

48032 = 2⁵ × 19¹ × 79¹

Step-3: Factors of 48013

List of positive integer factors of 48013 that divides 48013 without a remainder.

1, 7, 19, 133, 361, 2527, 6859

Step-4: Factors of 48032

List of positive integer factors of 48032 that divides 48013 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 79, 152, 158, 304, 316, 608, 632, 1264, 1501, 2528, 3002, 6004, 12008, 24016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48013 and 48032. The biggest common factor number is the GCF number.
So the greatest common factor 48013 and 48032 is 19.

Also check out the Least Common Multiple of 48013 and 48032