What is the Greatest Common Factor of 80142 and 80154?

Greatest common factor (GCF) of 80142 and 80154 is 6.

GCF(80142,80154) = 6

We will now calculate the prime factors of 80142 and 80154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80142 and 80154.

How to find the GCF of 80142 and 80154?

We will first find the prime factorization of 80142 and 80154. After we will calculate the factors of 80142 and 80154 and find the biggest common factor number .

Step-1: Prime Factorization of 80142

Prime factors of 80142 are 2, 3, 19, 37. Prime factorization of 80142 in exponential form is:

80142 = 2¹ × 3¹ × 19² × 37¹

Step-2: Prime Factorization of 80154

Prime factors of 80154 are 2, 3, 61, 73. Prime factorization of 80154 in exponential form is:

80154 = 2¹ × 3² × 61¹ × 73¹

Step-3: Factors of 80142

List of positive integer factors of 80142 that divides 80142 without a remainder.

1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 361, 703, 722, 1083, 1406, 2109, 2166, 4218, 13357, 26714, 40071

Step-4: Factors of 80154

List of positive integer factors of 80154 that divides 80142 without a remainder.

1, 2, 3, 6, 9, 18, 61, 73, 122, 146, 183, 219, 366, 438, 549, 657, 1098, 1314, 4453, 8906, 13359, 26718, 40077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80142 and 80154. The biggest common factor number is the GCF number.
So the greatest common factor 80142 and 80154 is 6.

Also check out the Least Common Multiple of 80142 and 80154