What is the Greatest Common Factor of 90140 and 90146?

Greatest common factor (GCF) of 90140 and 90146 is 2.

GCF(90140,90146) = 2

We will now calculate the prime factors of 90140 and 90146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90140 and 90146.

How to find the GCF of 90140 and 90146?

We will first find the prime factorization of 90140 and 90146. After we will calculate the factors of 90140 and 90146 and find the biggest common factor number .

Step-1: Prime Factorization of 90140

Prime factors of 90140 are 2, 5, 4507. Prime factorization of 90140 in exponential form is:

90140 = 2² × 5¹ × 4507¹

Step-2: Prime Factorization of 90146

Prime factors of 90146 are 2, 7, 47, 137. Prime factorization of 90146 in exponential form is:

90146 = 2¹ × 7¹ × 47¹ × 137¹

Step-3: Factors of 90140

List of positive integer factors of 90140 that divides 90140 without a remainder.

1, 2, 4, 5, 10, 20, 4507, 9014, 18028, 22535, 45070

Step-4: Factors of 90146

List of positive integer factors of 90146 that divides 90140 without a remainder.

1, 2, 7, 14, 47, 94, 137, 274, 329, 658, 959, 1918, 6439, 12878, 45073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90140 and 90146. The biggest common factor number is the GCF number.
So the greatest common factor 90140 and 90146 is 2.

Also check out the Least Common Multiple of 90140 and 90146