What is the Greatest Common Factor of 90454 and 90461?

Greatest common factor (GCF) of 90454 and 90461 is 7.

GCF(90454,90461) = 7

We will now calculate the prime factors of 90454 and 90461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90454 and 90461.

How to find the GCF of 90454 and 90461?

We will first find the prime factorization of 90454 and 90461. After we will calculate the factors of 90454 and 90461 and find the biggest common factor number .

Step-1: Prime Factorization of 90454

Prime factors of 90454 are 2, 7, 13, 71. Prime factorization of 90454 in exponential form is:

90454 = 2¹ × 7² × 13¹ × 71¹

Step-2: Prime Factorization of 90461

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

90461 = 7¹ × 12923¹

Step-3: Factors of 90454

List of positive integer factors of 90454 that divides 90454 without a remainder.

1, 2, 7, 13, 14, 26, 49, 71, 91, 98, 142, 182, 497, 637, 923, 994, 1274, 1846, 3479, 6461, 6958, 12922, 45227

Step-4: Factors of 90461

List of positive integer factors of 90461 that divides 90454 without a remainder.

1, 7, 12923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90454 and 90461. The biggest common factor number is the GCF number.
So the greatest common factor 90454 and 90461 is 7.

Also check out the Least Common Multiple of 90454 and 90461