What is the Greatest Common Factor of 90725 and 90744?

Greatest common factor (GCF) of 90725 and 90744 is 19.

GCF(90725,90744) = 19

We will now calculate the prime factors of 90725 and 90744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90725 and 90744.

How to find the GCF of 90725 and 90744?

We will first find the prime factorization of 90725 and 90744. After we will calculate the factors of 90725 and 90744 and find the biggest common factor number .

Step-1: Prime Factorization of 90725

Prime factors of 90725 are 5, 19, 191. Prime factorization of 90725 in exponential form is:

90725 = 5² × 19¹ × 191¹

Step-2: Prime Factorization of 90744

Prime factors of 90744 are 2, 3, 19, 199. Prime factorization of 90744 in exponential form is:

90744 = 2³ × 3¹ × 19¹ × 199¹

Step-3: Factors of 90725

List of positive integer factors of 90725 that divides 90725 without a remainder.

1, 5, 19, 25, 95, 191, 475, 955, 3629, 4775, 18145

Step-4: Factors of 90744

List of positive integer factors of 90744 that divides 90725 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 199, 228, 398, 456, 597, 796, 1194, 1592, 2388, 3781, 4776, 7562, 11343, 15124, 22686, 30248, 45372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90725 and 90744. The biggest common factor number is the GCF number.
So the greatest common factor 90725 and 90744 is 19.

Also check out the Least Common Multiple of 90725 and 90744