What is the Greatest Common Factor of 90610 and 90620?

Greatest common factor (GCF) of 90610 and 90620 is 10.

GCF(90610,90620) = 10

We will now calculate the prime factors of 90610 and 90620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90610 and 90620.

How to find the GCF of 90610 and 90620?

We will first find the prime factorization of 90610 and 90620. After we will calculate the factors of 90610 and 90620 and find the biggest common factor number .

Step-1: Prime Factorization of 90610

Prime factors of 90610 are 2, 5, 13, 17, 41. Prime factorization of 90610 in exponential form is:

90610 = 2¹ × 5¹ × 13¹ × 17¹ × 41¹

Step-2: Prime Factorization of 90620

Prime factors of 90620 are 2, 5, 23, 197. Prime factorization of 90620 in exponential form is:

90620 = 2² × 5¹ × 23¹ × 197¹

Step-3: Factors of 90610

List of positive integer factors of 90610 that divides 90610 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 41, 65, 82, 85, 130, 170, 205, 221, 410, 442, 533, 697, 1066, 1105, 1394, 2210, 2665, 3485, 5330, 6970, 9061, 18122, 45305

Step-4: Factors of 90620

List of positive integer factors of 90620 that divides 90610 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 197, 230, 394, 460, 788, 985, 1970, 3940, 4531, 9062, 18124, 22655, 45310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90610 and 90620. The biggest common factor number is the GCF number.
So the greatest common factor 90610 and 90620 is 10.

Also check out the Least Common Multiple of 90610 and 90620