What is the Greatest Common Factor of 42090 and 42095?

Greatest common factor (GCF) of 42090 and 42095 is 5.

GCF(42090,42095) = 5

We will now calculate the prime factors of 42090 and 42095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42090 and 42095.

How to find the GCF of 42090 and 42095?

We will first find the prime factorization of 42090 and 42095. After we will calculate the factors of 42090 and 42095 and find the biggest common factor number .

Step-1: Prime Factorization of 42090

Prime factors of 42090 are 2, 3, 5, 23, 61. Prime factorization of 42090 in exponential form is:

42090 = 2¹ × 3¹ × 5¹ × 23¹ × 61¹

Step-2: Prime Factorization of 42095

Prime factors of 42095 are 5, 8419. Prime factorization of 42095 in exponential form is:

42095 = 5¹ × 8419¹

Step-3: Factors of 42090

List of positive integer factors of 42090 that divides 42090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 61, 69, 115, 122, 138, 183, 230, 305, 345, 366, 610, 690, 915, 1403, 1830, 2806, 4209, 7015, 8418, 14030, 21045

Step-4: Factors of 42095

List of positive integer factors of 42095 that divides 42090 without a remainder.

1, 5, 8419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42090 and 42095. The biggest common factor number is the GCF number.
So the greatest common factor 42090 and 42095 is 5.

Also check out the Least Common Multiple of 42090 and 42095