What is the Greatest Common Factor of 80642 and 80660?

Greatest common factor (GCF) of 80642 and 80660 is 2.

GCF(80642,80660) = 2

We will now calculate the prime factors of 80642 and 80660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80642 and 80660.

How to find the GCF of 80642 and 80660?

We will first find the prime factorization of 80642 and 80660. After we will calculate the factors of 80642 and 80660 and find the biggest common factor number .

Step-1: Prime Factorization of 80642

Prime factors of 80642 are 2, 61, 661. Prime factorization of 80642 in exponential form is:

80642 = 2¹ × 61¹ × 661¹

Step-2: Prime Factorization of 80660

Prime factors of 80660 are 2, 5, 37, 109. Prime factorization of 80660 in exponential form is:

80660 = 2² × 5¹ × 37¹ × 109¹

Step-3: Factors of 80642

List of positive integer factors of 80642 that divides 80642 without a remainder.

1, 2, 61, 122, 661, 1322, 40321

Step-4: Factors of 80660

List of positive integer factors of 80660 that divides 80642 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 109, 148, 185, 218, 370, 436, 545, 740, 1090, 2180, 4033, 8066, 16132, 20165, 40330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80642 and 80660. The biggest common factor number is the GCF number.
So the greatest common factor 80642 and 80660 is 2.

Also check out the Least Common Multiple of 80642 and 80660