What is the Greatest Common Factor of 81642 and 81656?

Greatest common factor (GCF) of 81642 and 81656 is 2.

GCF(81642,81656) = 2

We will now calculate the prime factors of 81642 and 81656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81642 and 81656.

How to find the GCF of 81642 and 81656?

We will first find the prime factorization of 81642 and 81656. After we will calculate the factors of 81642 and 81656 and find the biggest common factor number .

Step-1: Prime Factorization of 81642

Prime factors of 81642 are 2, 3, 11, 1237. Prime factorization of 81642 in exponential form is:

81642 = 2¹ × 3¹ × 11¹ × 1237¹

Step-2: Prime Factorization of 81656

Prime factors of 81656 are 2, 59, 173. Prime factorization of 81656 in exponential form is:

81656 = 2³ × 59¹ × 173¹

Step-3: Factors of 81642

List of positive integer factors of 81642 that divides 81642 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1237, 2474, 3711, 7422, 13607, 27214, 40821

Step-4: Factors of 81656

List of positive integer factors of 81656 that divides 81642 without a remainder.

1, 2, 4, 8, 59, 118, 173, 236, 346, 472, 692, 1384, 10207, 20414, 40828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81642 and 81656. The biggest common factor number is the GCF number.
So the greatest common factor 81642 and 81656 is 2.

Also check out the Least Common Multiple of 81642 and 81656