What is the Greatest Common Factor of 42090 and 42109?

Greatest common factor (GCF) of 42090 and 42109 is 1.

GCF(42090,42109) = 1

We will now calculate the prime factors of 42090 and 42109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42090 and 42109.

How to find the GCF of 42090 and 42109?

We will first find the prime factorization of 42090 and 42109. After we will calculate the factors of 42090 and 42109 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 42109

Prime factors of 42109 are 17, 2477. Prime factorization of 42109 in exponential form is:

42109 = 17¹ × 2477¹

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 42109

List of positive integer factors of 42109 that divides 42090 without a remainder.

1, 17, 2477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42090 and 42109. The biggest common factor number is the GCF number.
So the greatest common factor 42090 and 42109 is 1.

Also check out the Least Common Multiple of 42090 and 42109