What is the Greatest Common Factor of 90820 and 90830?

Greatest common factor (GCF) of 90820 and 90830 is 10.

GCF(90820,90830) = 10

We will now calculate the prime factors of 90820 and 90830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90820 and 90830.

How to find the GCF of 90820 and 90830?

We will first find the prime factorization of 90820 and 90830. After we will calculate the factors of 90820 and 90830 and find the biggest common factor number .

Step-1: Prime Factorization of 90820

Prime factors of 90820 are 2, 5, 19, 239. Prime factorization of 90820 in exponential form is:

90820 = 2² × 5¹ × 19¹ × 239¹

Step-2: Prime Factorization of 90830

Prime factors of 90830 are 2, 5, 31, 293. Prime factorization of 90830 in exponential form is:

90830 = 2¹ × 5¹ × 31¹ × 293¹

Step-3: Factors of 90820

List of positive integer factors of 90820 that divides 90820 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 239, 380, 478, 956, 1195, 2390, 4541, 4780, 9082, 18164, 22705, 45410

Step-4: Factors of 90830

List of positive integer factors of 90830 that divides 90820 without a remainder.

1, 2, 5, 10, 31, 62, 155, 293, 310, 586, 1465, 2930, 9083, 18166, 45415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90820 and 90830. The biggest common factor number is the GCF number.
So the greatest common factor 90820 and 90830 is 10.

Also check out the Least Common Multiple of 90820 and 90830