What is the Greatest Common Factor of 80656 and 80670?

Greatest common factor (GCF) of 80656 and 80670 is 2.

GCF(80656,80670) = 2

We will now calculate the prime factors of 80656 and 80670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80656 and 80670.

How to find the GCF of 80656 and 80670?

We will first find the prime factorization of 80656 and 80670. After we will calculate the factors of 80656 and 80670 and find the biggest common factor number .

Step-1: Prime Factorization of 80656

Prime factors of 80656 are 2, 71. Prime factorization of 80656 in exponential form is:

80656 = 2⁴ × 71²

Step-2: Prime Factorization of 80670

Prime factors of 80670 are 2, 3, 5, 2689. Prime factorization of 80670 in exponential form is:

80670 = 2¹ × 3¹ × 5¹ × 2689¹

Step-3: Factors of 80656

List of positive integer factors of 80656 that divides 80656 without a remainder.

1, 2, 4, 8, 16, 71, 142, 284, 568, 1136, 5041, 10082, 20164, 40328

Step-4: Factors of 80670

List of positive integer factors of 80670 that divides 80656 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2689, 5378, 8067, 13445, 16134, 26890, 40335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80656 and 80670. The biggest common factor number is the GCF number.
So the greatest common factor 80656 and 80670 is 2.

Also check out the Least Common Multiple of 80656 and 80670