What is the Greatest Common Factor of 81420 and 81434?

Greatest common factor (GCF) of 81420 and 81434 is 2.

GCF(81420,81434) = 2

We will now calculate the prime factors of 81420 and 81434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81420 and 81434.

How to find the GCF of 81420 and 81434?

We will first find the prime factorization of 81420 and 81434. After we will calculate the factors of 81420 and 81434 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81434

Prime factors of 81434 are 2, 19, 2143. Prime factorization of 81434 in exponential form is:

81434 = 2¹ × 19¹ × 2143¹

Step-3: Factors of 81420

List of positive integer factors of 81420 that divides 81420 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

Step-4: Factors of 81434

List of positive integer factors of 81434 that divides 81420 without a remainder.

1, 2, 19, 38, 2143, 4286, 40717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81420 and 81434. The biggest common factor number is the GCF number.
So the greatest common factor 81420 and 81434 is 2.

Also check out the Least Common Multiple of 81420 and 81434