What is the Greatest Common Factor of 42090 and 42101?

Greatest common factor (GCF) of 42090 and 42101 is 1.

GCF(42090,42101) = 1

We will now calculate the prime factors of 42090 and 42101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42090 and 42101.

How to find the GCF of 42090 and 42101?

We will first find the prime factorization of 42090 and 42101. After we will calculate the factors of 42090 and 42101 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 42101

Prime factors of 42101 are 42101. Prime factorization of 42101 in exponential form is:

42101 = 42101¹

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 42101

List of positive integer factors of 42101 that divides 42090 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42090 and 42101. The biggest common factor number is the GCF number.
So the greatest common factor 42090 and 42101 is 1.

Also check out the Least Common Multiple of 42090 and 42101