What is the Greatest Common Factor of 90764 and 90768?

Greatest common factor (GCF) of 90764 and 90768 is 4.

GCF(90764,90768) = 4

We will now calculate the prime factors of 90764 and 90768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90764 and 90768.

How to find the GCF of 90764 and 90768?

We will first find the prime factorization of 90764 and 90768. After we will calculate the factors of 90764 and 90768 and find the biggest common factor number .

Step-1: Prime Factorization of 90764

Prime factors of 90764 are 2, 22691. Prime factorization of 90764 in exponential form is:

90764 = 2² × 22691¹

Step-2: Prime Factorization of 90768

Prime factors of 90768 are 2, 3, 31, 61. Prime factorization of 90768 in exponential form is:

90768 = 2⁴ × 3¹ × 31¹ × 61¹

Step-3: Factors of 90764

List of positive integer factors of 90764 that divides 90764 without a remainder.

1, 2, 4, 22691, 45382

Step-4: Factors of 90768

List of positive integer factors of 90768 that divides 90764 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 61, 62, 93, 122, 124, 183, 186, 244, 248, 366, 372, 488, 496, 732, 744, 976, 1464, 1488, 1891, 2928, 3782, 5673, 7564, 11346, 15128, 22692, 30256, 45384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90764 and 90768. The biggest common factor number is the GCF number.
So the greatest common factor 90764 and 90768 is 4.

Also check out the Least Common Multiple of 90764 and 90768