What is the Greatest Common Factor of 90069 and 90076?

Greatest common factor (GCF) of 90069 and 90076 is 7.

GCF(90069,90076) = 7

We will now calculate the prime factors of 90069 and 90076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90069 and 90076.

How to find the GCF of 90069 and 90076?

We will first find the prime factorization of 90069 and 90076. After we will calculate the factors of 90069 and 90076 and find the biggest common factor number .

Step-1: Prime Factorization of 90069

Prime factors of 90069 are 3, 7, 4289. Prime factorization of 90069 in exponential form is:

90069 = 3¹ × 7¹ × 4289¹

Step-2: Prime Factorization of 90076

Prime factors of 90076 are 2, 7, 3217. Prime factorization of 90076 in exponential form is:

90076 = 2² × 7¹ × 3217¹

Step-3: Factors of 90069

List of positive integer factors of 90069 that divides 90069 without a remainder.

1, 3, 7, 21, 4289, 12867, 30023

Step-4: Factors of 90076

List of positive integer factors of 90076 that divides 90069 without a remainder.

1, 2, 4, 7, 14, 28, 3217, 6434, 12868, 22519, 45038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90069 and 90076. The biggest common factor number is the GCF number.
So the greatest common factor 90069 and 90076 is 7.

Also check out the Least Common Multiple of 90069 and 90076