What is the Greatest Common Factor of 81722 and 81732?

Greatest common factor (GCF) of 81722 and 81732 is 2.

GCF(81722,81732) = 2

We will now calculate the prime factors of 81722 and 81732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81722 and 81732.

How to find the GCF of 81722 and 81732?

We will first find the prime factorization of 81722 and 81732. After we will calculate the factors of 81722 and 81732 and find the biggest common factor number .

Step-1: Prime Factorization of 81722

Prime factors of 81722 are 2, 29, 1409. Prime factorization of 81722 in exponential form is:

81722 = 2¹ × 29¹ × 1409¹

Step-2: Prime Factorization of 81732

Prime factors of 81732 are 2, 3, 7, 139. Prime factorization of 81732 in exponential form is:

81732 = 2² × 3¹ × 7² × 139¹

Step-3: Factors of 81722

List of positive integer factors of 81722 that divides 81722 without a remainder.

1, 2, 29, 58, 1409, 2818, 40861

Step-4: Factors of 81732

List of positive integer factors of 81732 that divides 81722 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 139, 147, 196, 278, 294, 417, 556, 588, 834, 973, 1668, 1946, 2919, 3892, 5838, 6811, 11676, 13622, 20433, 27244, 40866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81722 and 81732. The biggest common factor number is the GCF number.
So the greatest common factor 81722 and 81732 is 2.

Also check out the Least Common Multiple of 81722 and 81732