What is the Greatest Common Factor of 90060 and 90077?

Greatest common factor (GCF) of 90060 and 90077 is 1.

GCF(90060,90077) = 1

We will now calculate the prime factors of 90060 and 90077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90060 and 90077.

How to find the GCF of 90060 and 90077?

We will first find the prime factorization of 90060 and 90077. After we will calculate the factors of 90060 and 90077 and find the biggest common factor number .

Step-1: Prime Factorization of 90060

Prime factors of 90060 are 2, 3, 5, 19, 79. Prime factorization of 90060 in exponential form is:

90060 = 2² × 3¹ × 5¹ × 19¹ × 79¹

Step-2: Prime Factorization of 90077

Prime factors of 90077 are 13, 41. Prime factorization of 90077 in exponential form is:

90077 = 13³ × 41¹

Step-3: Factors of 90060

List of positive integer factors of 90060 that divides 90060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 79, 95, 114, 158, 190, 228, 237, 285, 316, 380, 395, 474, 570, 790, 948, 1140, 1185, 1501, 1580, 2370, 3002, 4503, 4740, 6004, 7505, 9006, 15010, 18012, 22515, 30020, 45030

Step-4: Factors of 90077

List of positive integer factors of 90077 that divides 90060 without a remainder.

1, 13, 41, 169, 533, 2197, 6929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90060 and 90077. The biggest common factor number is the GCF number.
So the greatest common factor 90060 and 90077 is 1.

Also check out the Least Common Multiple of 90060 and 90077