What is the Greatest Common Factor of 42090 and 42094?

Greatest common factor (GCF) of 42090 and 42094 is 2.

GCF(42090,42094) = 2

We will now calculate the prime factors of 42090 and 42094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42090 and 42094.

How to find the GCF of 42090 and 42094?

We will first find the prime factorization of 42090 and 42094. After we will calculate the factors of 42090 and 42094 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 42094

Prime factors of 42094 are 2, 13, 1619. Prime factorization of 42094 in exponential form is:

42094 = 2¹ × 13¹ × 1619¹

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 42094

List of positive integer factors of 42094 that divides 42090 without a remainder.

1, 2, 13, 26, 1619, 3238, 21047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42090 and 42094. The biggest common factor number is the GCF number.
So the greatest common factor 42090 and 42094 is 2.

Also check out the Least Common Multiple of 42090 and 42094