What is the Greatest Common Factor of 90738 and 90758?

Greatest common factor (GCF) of 90738 and 90758 is 2.

GCF(90738,90758) = 2

We will now calculate the prime factors of 90738 and 90758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90738 and 90758.

How to find the GCF of 90738 and 90758?

We will first find the prime factorization of 90738 and 90758. After we will calculate the factors of 90738 and 90758 and find the biggest common factor number .

Step-1: Prime Factorization of 90738

Prime factors of 90738 are 2, 3, 71. Prime factorization of 90738 in exponential form is:

90738 = 2¹ × 3² × 71²

Step-2: Prime Factorization of 90758

Prime factors of 90758 are 2, 23, 1973. Prime factorization of 90758 in exponential form is:

90758 = 2¹ × 23¹ × 1973¹

Step-3: Factors of 90738

List of positive integer factors of 90738 that divides 90738 without a remainder.

1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278, 5041, 10082, 15123, 30246, 45369

Step-4: Factors of 90758

List of positive integer factors of 90758 that divides 90738 without a remainder.

1, 2, 23, 46, 1973, 3946, 45379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90738 and 90758. The biggest common factor number is the GCF number.
So the greatest common factor 90738 and 90758 is 2.

Also check out the Least Common Multiple of 90738 and 90758