What is the Greatest Common Factor of 73640 and 73652?

Greatest common factor (GCF) of 73640 and 73652 is 4.

GCF(73640,73652) = 4

We will now calculate the prime factors of 73640 and 73652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73640 and 73652.

How to find the GCF of 73640 and 73652?

We will first find the prime factorization of 73640 and 73652. After we will calculate the factors of 73640 and 73652 and find the biggest common factor number .

Step-1: Prime Factorization of 73640

Prime factors of 73640 are 2, 5, 7, 263. Prime factorization of 73640 in exponential form is:

73640 = 2³ × 5¹ × 7¹ × 263¹

Step-2: Prime Factorization of 73652

Prime factors of 73652 are 2, 18413. Prime factorization of 73652 in exponential form is:

73652 = 2² × 18413¹

Step-3: Factors of 73640

List of positive integer factors of 73640 that divides 73640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 263, 280, 526, 1052, 1315, 1841, 2104, 2630, 3682, 5260, 7364, 9205, 10520, 14728, 18410, 36820

Step-4: Factors of 73652

List of positive integer factors of 73652 that divides 73640 without a remainder.

1, 2, 4, 18413, 36826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73640 and 73652. The biggest common factor number is the GCF number.
So the greatest common factor 73640 and 73652 is 4.

Also check out the Least Common Multiple of 73640 and 73652