What is the Greatest Common Factor of 90461 and 90468?

Greatest common factor (GCF) of 90461 and 90468 is 7.

GCF(90461,90468) = 7

We will now calculate the prime factors of 90461 and 90468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90461 and 90468.

How to find the GCF of 90461 and 90468?

We will first find the prime factorization of 90461 and 90468. After we will calculate the factors of 90461 and 90468 and find the biggest common factor number .

Step-1: Prime Factorization of 90461

Prime factors of 90461 are 7, 12923. Prime factorization of 90461 in exponential form is:

90461 = 7¹ × 12923¹

Step-2: Prime Factorization of 90468

Prime factors of 90468 are 2, 3, 7, 359. Prime factorization of 90468 in exponential form is:

90468 = 2² × 3² × 7¹ × 359¹

Step-3: Factors of 90461

List of positive integer factors of 90461 that divides 90461 without a remainder.

1, 7, 12923

Step-4: Factors of 90468

List of positive integer factors of 90468 that divides 90461 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 359, 718, 1077, 1436, 2154, 2513, 3231, 4308, 5026, 6462, 7539, 10052, 12924, 15078, 22617, 30156, 45234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90461 and 90468. The biggest common factor number is the GCF number.
So the greatest common factor 90461 and 90468 is 7.

Also check out the Least Common Multiple of 90461 and 90468