What is the Greatest Common Factor of 73520 and 73536?

Greatest common factor (GCF) of 73520 and 73536 is 16.

GCF(73520,73536) = 16

We will now calculate the prime factors of 73520 and 73536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73520 and 73536.

How to find the GCF of 73520 and 73536?

We will first find the prime factorization of 73520 and 73536. After we will calculate the factors of 73520 and 73536 and find the biggest common factor number .

Step-1: Prime Factorization of 73520

Prime factors of 73520 are 2, 5, 919. Prime factorization of 73520 in exponential form is:

73520 = 2⁴ × 5¹ × 919¹

Step-2: Prime Factorization of 73536

Prime factors of 73536 are 2, 3, 383. Prime factorization of 73536 in exponential form is:

73536 = 2⁶ × 3¹ × 383¹

Step-3: Factors of 73520

List of positive integer factors of 73520 that divides 73520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 919, 1838, 3676, 4595, 7352, 9190, 14704, 18380, 36760

Step-4: Factors of 73536

List of positive integer factors of 73536 that divides 73520 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192, 12256, 18384, 24512, 36768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73520 and 73536. The biggest common factor number is the GCF number.
So the greatest common factor 73520 and 73536 is 16.

Also check out the Least Common Multiple of 73520 and 73536