What is the Greatest Common Factor of 90940 and 90950?

Greatest common factor (GCF) of 90940 and 90950 is 10.

GCF(90940,90950) = 10

We will now calculate the prime factors of 90940 and 90950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90940 and 90950.

How to find the GCF of 90940 and 90950?

We will first find the prime factorization of 90940 and 90950. After we will calculate the factors of 90940 and 90950 and find the biggest common factor number .

Step-1: Prime Factorization of 90940

Prime factors of 90940 are 2, 5, 4547. Prime factorization of 90940 in exponential form is:

90940 = 2² × 5¹ × 4547¹

Step-2: Prime Factorization of 90950

Prime factors of 90950 are 2, 5, 17, 107. Prime factorization of 90950 in exponential form is:

90950 = 2¹ × 5² × 17¹ × 107¹

Step-3: Factors of 90940

List of positive integer factors of 90940 that divides 90940 without a remainder.

1, 2, 4, 5, 10, 20, 4547, 9094, 18188, 22735, 45470

Step-4: Factors of 90950

List of positive integer factors of 90950 that divides 90940 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 107, 170, 214, 425, 535, 850, 1070, 1819, 2675, 3638, 5350, 9095, 18190, 45475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90940 and 90950. The biggest common factor number is the GCF number.
So the greatest common factor 90940 and 90950 is 10.

Also check out the Least Common Multiple of 90940 and 90950