What is the Greatest Common Factor of 40090 and 40102?

Greatest common factor (GCF) of 40090 and 40102 is 2.

GCF(40090,40102) = 2

We will now calculate the prime factors of 40090 and 40102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40090 and 40102.

How to find the GCF of 40090 and 40102?

We will first find the prime factorization of 40090 and 40102. After we will calculate the factors of 40090 and 40102 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 40102

Prime factors of 40102 are 2, 20051. Prime factorization of 40102 in exponential form is:

40102 = 2¹ × 20051¹

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 40102

List of positive integer factors of 40102 that divides 40090 without a remainder.

1, 2, 20051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40090 and 40102. The biggest common factor number is the GCF number.
So the greatest common factor 40090 and 40102 is 2.

Also check out the Least Common Multiple of 40090 and 40102