What is the Greatest Common Factor of 26142 and 26160?

Greatest common factor (GCF) of 26142 and 26160 is 6.

GCF(26142,26160) = 6

We will now calculate the prime factors of 26142 and 26160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26142 and 26160.

How to find the GCF of 26142 and 26160?

We will first find the prime factorization of 26142 and 26160. After we will calculate the factors of 26142 and 26160 and find the biggest common factor number .

Step-1: Prime Factorization of 26142

Prime factors of 26142 are 2, 3, 4357. Prime factorization of 26142 in exponential form is:

26142 = 2¹ × 3¹ × 4357¹

Step-2: Prime Factorization of 26160

Prime factors of 26160 are 2, 3, 5, 109. Prime factorization of 26160 in exponential form is:

26160 = 2⁴ × 3¹ × 5¹ × 109¹

Step-3: Factors of 26142

List of positive integer factors of 26142 that divides 26142 without a remainder.

1, 2, 3, 6, 4357, 8714, 13071

Step-4: Factors of 26160

List of positive integer factors of 26160 that divides 26142 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 109, 120, 218, 240, 327, 436, 545, 654, 872, 1090, 1308, 1635, 1744, 2180, 2616, 3270, 4360, 5232, 6540, 8720, 13080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26142 and 26160. The biggest common factor number is the GCF number.
So the greatest common factor 26142 and 26160 is 6.

Also check out the Least Common Multiple of 26142 and 26160