What is the Greatest Common Factor of 42160 and 42171?

Greatest common factor (GCF) of 42160 and 42171 is 1.

GCF(42160,42171) = 1

We will now calculate the prime factors of 42160 and 42171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42160 and 42171.

How to find the GCF of 42160 and 42171?

We will first find the prime factorization of 42160 and 42171. After we will calculate the factors of 42160 and 42171 and find the biggest common factor number .

Step-1: Prime Factorization of 42160

Prime factors of 42160 are 2, 5, 17, 31. Prime factorization of 42160 in exponential form is:

42160 = 2⁴ × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 42171

Prime factors of 42171 are 3, 14057. Prime factorization of 42171 in exponential form is:

42171 = 3¹ × 14057¹

Step-3: Factors of 42160

List of positive integer factors of 42160 that divides 42160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 31, 34, 40, 62, 68, 80, 85, 124, 136, 155, 170, 248, 272, 310, 340, 496, 527, 620, 680, 1054, 1240, 1360, 2108, 2480, 2635, 4216, 5270, 8432, 10540, 21080

Step-4: Factors of 42171

List of positive integer factors of 42171 that divides 42160 without a remainder.

1, 3, 14057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42160 and 42171. The biggest common factor number is the GCF number.
So the greatest common factor 42160 and 42171 is 1.

Also check out the Least Common Multiple of 42160 and 42171