What is the Greatest Common Factor of 73504 and 73514?

Greatest common factor (GCF) of 73504 and 73514 is 2.

GCF(73504,73514) = 2

We will now calculate the prime factors of 73504 and 73514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73504 and 73514.

How to find the GCF of 73504 and 73514?

We will first find the prime factorization of 73504 and 73514. After we will calculate the factors of 73504 and 73514 and find the biggest common factor number .

Step-1: Prime Factorization of 73504

Prime factors of 73504 are 2, 2297. Prime factorization of 73504 in exponential form is:

73504 = 2⁵ × 2297¹

Step-2: Prime Factorization of 73514

Prime factors of 73514 are 2, 7, 59, 89. Prime factorization of 73514 in exponential form is:

73514 = 2¹ × 7¹ × 59¹ × 89¹

Step-3: Factors of 73504

List of positive integer factors of 73504 that divides 73504 without a remainder.

1, 2, 4, 8, 16, 32, 2297, 4594, 9188, 18376, 36752

Step-4: Factors of 73514

List of positive integer factors of 73514 that divides 73504 without a remainder.

1, 2, 7, 14, 59, 89, 118, 178, 413, 623, 826, 1246, 5251, 10502, 36757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73504 and 73514. The biggest common factor number is the GCF number.
So the greatest common factor 73504 and 73514 is 2.

Also check out the Least Common Multiple of 73504 and 73514