What is the Greatest Common Factor of 42090 and 42098?

Greatest common factor (GCF) of 42090 and 42098 is 2.

GCF(42090,42098) = 2

We will now calculate the prime factors of 42090 and 42098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42090 and 42098.

How to find the GCF of 42090 and 42098?

We will first find the prime factorization of 42090 and 42098. After we will calculate the factors of 42090 and 42098 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 42098

Prime factors of 42098 are 2, 7, 31, 97. Prime factorization of 42098 in exponential form is:

42098 = 2¹ × 7¹ × 31¹ × 97¹

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 42098

List of positive integer factors of 42098 that divides 42090 without a remainder.

1, 2, 7, 14, 31, 62, 97, 194, 217, 434, 679, 1358, 3007, 6014, 21049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42090 and 42098. The biggest common factor number is the GCF number.
So the greatest common factor 42090 and 42098 is 2.

Also check out the Least Common Multiple of 42090 and 42098