What is the Greatest Common Factor of 90140 and 90150?

Greatest common factor (GCF) of 90140 and 90150 is 10.

GCF(90140,90150) = 10

We will now calculate the prime factors of 90140 and 90150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90140 and 90150.

How to find the GCF of 90140 and 90150?

We will first find the prime factorization of 90140 and 90150. After we will calculate the factors of 90140 and 90150 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 90150

Prime factors of 90150 are 2, 3, 5, 601. Prime factorization of 90150 in exponential form is:

90150 = 2¹ × 3¹ × 5² × 601¹

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 90150

List of positive integer factors of 90150 that divides 90140 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 601, 1202, 1803, 3005, 3606, 6010, 9015, 15025, 18030, 30050, 45075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90140 and 90150. The biggest common factor number is the GCF number.
So the greatest common factor 90140 and 90150 is 10.

Also check out the Least Common Multiple of 90140 and 90150