What is the Greatest Common Factor of 81412 and 81420?

Greatest common factor (GCF) of 81412 and 81420 is 4.

GCF(81412,81420) = 4

We will now calculate the prime factors of 81412 and 81420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81412 and 81420.

How to find the GCF of 81412 and 81420?

We will first find the prime factorization of 81412 and 81420. After we will calculate the factors of 81412 and 81420 and find the biggest common factor number .

Step-1: Prime Factorization of 81412

Prime factors of 81412 are 2, 20353. Prime factorization of 81412 in exponential form is:

81412 = 2² × 20353¹

Step-2: Prime Factorization of 81420

Prime factors of 81420 are 2, 3, 5, 23, 59. Prime factorization of 81420 in exponential form is:

81420 = 2² × 3¹ × 5¹ × 23¹ × 59¹

Step-3: Factors of 81412

List of positive integer factors of 81412 that divides 81412 without a remainder.

1, 2, 4, 20353, 40706

Step-4: Factors of 81420

List of positive integer factors of 81420 that divides 81412 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 59, 60, 69, 92, 115, 118, 138, 177, 230, 236, 276, 295, 345, 354, 460, 590, 690, 708, 885, 1180, 1357, 1380, 1770, 2714, 3540, 4071, 5428, 6785, 8142, 13570, 16284, 20355, 27140, 40710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81412 and 81420. The biggest common factor number is the GCF number.
So the greatest common factor 81412 and 81420 is 4.

Also check out the Least Common Multiple of 81412 and 81420