What is the Greatest Common Factor of 90762 and 90769?

Greatest common factor (GCF) of 90762 and 90769 is 7.

GCF(90762,90769) = 7

We will now calculate the prime factors of 90762 and 90769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90762 and 90769.

How to find the GCF of 90762 and 90769?

We will first find the prime factorization of 90762 and 90769. After we will calculate the factors of 90762 and 90769 and find the biggest common factor number .

Step-1: Prime Factorization of 90762

Prime factors of 90762 are 2, 3, 7, 2161. Prime factorization of 90762 in exponential form is:

90762 = 2¹ × 3¹ × 7¹ × 2161¹

Step-2: Prime Factorization of 90769

Prime factors of 90769 are 7, 12967. Prime factorization of 90769 in exponential form is:

90769 = 7¹ × 12967¹

Step-3: Factors of 90762

List of positive integer factors of 90762 that divides 90762 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2161, 4322, 6483, 12966, 15127, 30254, 45381

Step-4: Factors of 90769

List of positive integer factors of 90769 that divides 90762 without a remainder.

1, 7, 12967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90762 and 90769. The biggest common factor number is the GCF number.
So the greatest common factor 90762 and 90769 is 7.

Also check out the Least Common Multiple of 90762 and 90769