What is the Greatest Common Factor of 73606 and 73625?

Greatest common factor (GCF) of 73606 and 73625 is 19.

GCF(73606,73625) = 19

We will now calculate the prime factors of 73606 and 73625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73606 and 73625.

How to find the GCF of 73606 and 73625?

We will first find the prime factorization of 73606 and 73625. After we will calculate the factors of 73606 and 73625 and find the biggest common factor number .

Step-1: Prime Factorization of 73606

Prime factors of 73606 are 2, 13, 19, 149. Prime factorization of 73606 in exponential form is:

73606 = 2¹ × 13¹ × 19¹ × 149¹

Step-2: Prime Factorization of 73625

Prime factors of 73625 are 5, 19, 31. Prime factorization of 73625 in exponential form is:

73625 = 5³ × 19¹ × 31¹

Step-3: Factors of 73606

List of positive integer factors of 73606 that divides 73606 without a remainder.

1, 2, 13, 19, 26, 38, 149, 247, 298, 494, 1937, 2831, 3874, 5662, 36803

Step-4: Factors of 73625

List of positive integer factors of 73625 that divides 73606 without a remainder.

1, 5, 19, 25, 31, 95, 125, 155, 475, 589, 775, 2375, 2945, 3875, 14725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73606 and 73625. The biggest common factor number is the GCF number.
So the greatest common factor 73606 and 73625 is 19.

Also check out the Least Common Multiple of 73606 and 73625