What is the Greatest Common Factor of 42160 and 42170?

Greatest common factor (GCF) of 42160 and 42170 is 10.

GCF(42160,42170) = 10

We will now calculate the prime factors of 42160 and 42170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42160 and 42170.

How to find the GCF of 42160 and 42170?

We will first find the prime factorization of 42160 and 42170. After we will calculate the factors of 42160 and 42170 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 42170

Prime factors of 42170 are 2, 5, 4217. Prime factorization of 42170 in exponential form is:

42170 = 2¹ × 5¹ × 4217¹

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 42170

List of positive integer factors of 42170 that divides 42160 without a remainder.

1, 2, 5, 10, 4217, 8434, 21085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42160 and 42170. The biggest common factor number is the GCF number.
So the greatest common factor 42160 and 42170 is 10.

Also check out the Least Common Multiple of 42160 and 42170