What is the Greatest Common Factor of 73646 and 73660?

Greatest common factor (GCF) of 73646 and 73660 is 2.

GCF(73646,73660) = 2

We will now calculate the prime factors of 73646 and 73660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73646 and 73660.

How to find the GCF of 73646 and 73660?

We will first find the prime factorization of 73646 and 73660. After we will calculate the factors of 73646 and 73660 and find the biggest common factor number .

Step-1: Prime Factorization of 73646

Prime factors of 73646 are 2, 23, 1601. Prime factorization of 73646 in exponential form is:

73646 = 2¹ × 23¹ × 1601¹

Step-2: Prime Factorization of 73660

Prime factors of 73660 are 2, 5, 29, 127. Prime factorization of 73660 in exponential form is:

73660 = 2² × 5¹ × 29¹ × 127¹

Step-3: Factors of 73646

List of positive integer factors of 73646 that divides 73646 without a remainder.

1, 2, 23, 46, 1601, 3202, 36823

Step-4: Factors of 73660

List of positive integer factors of 73660 that divides 73646 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 127, 145, 254, 290, 508, 580, 635, 1270, 2540, 3683, 7366, 14732, 18415, 36830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73646 and 73660. The biggest common factor number is the GCF number.
So the greatest common factor 73646 and 73660 is 2.

Also check out the Least Common Multiple of 73646 and 73660