What is the Greatest Common Factor of 40090 and 40109?

Greatest common factor (GCF) of 40090 and 40109 is 19.

GCF(40090,40109) = 19

We will now calculate the prime factors of 40090 and 40109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40090 and 40109.

How to find the GCF of 40090 and 40109?

We will first find the prime factorization of 40090 and 40109. After we will calculate the factors of 40090 and 40109 and find the biggest common factor number .

Step-1: Prime Factorization of 40090

Prime factors of 40090 are 2, 5, 19, 211. Prime factorization of 40090 in exponential form is:

40090 = 2¹ × 5¹ × 19¹ × 211¹

Step-2: Prime Factorization of 40109

Prime factors of 40109 are 19, 2111. Prime factorization of 40109 in exponential form is:

40109 = 19¹ × 2111¹

Step-3: Factors of 40090

List of positive integer factors of 40090 that divides 40090 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 211, 422, 1055, 2110, 4009, 8018, 20045

Step-4: Factors of 40109

List of positive integer factors of 40109 that divides 40090 without a remainder.

1, 19, 2111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40090 and 40109. The biggest common factor number is the GCF number.
So the greatest common factor 40090 and 40109 is 19.

Also check out the Least Common Multiple of 40090 and 40109