What is the Greatest Common Factor of 90402 and 90415?

Greatest common factor (GCF) of 90402 and 90415 is 13.

GCF(90402,90415) = 13

We will now calculate the prime factors of 90402 and 90415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90402 and 90415.

How to find the GCF of 90402 and 90415?

We will first find the prime factorization of 90402 and 90415. After we will calculate the factors of 90402 and 90415 and find the biggest common factor number .

Step-1: Prime Factorization of 90402

Prime factors of 90402 are 2, 3, 13, 19, 61. Prime factorization of 90402 in exponential form is:

90402 = 2¹ × 3¹ × 13¹ × 19¹ × 61¹

Step-2: Prime Factorization of 90415

Prime factors of 90415 are 5, 13, 107. Prime factorization of 90415 in exponential form is:

90415 = 5¹ × 13² × 107¹

Step-3: Factors of 90402

List of positive integer factors of 90402 that divides 90402 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 61, 78, 114, 122, 183, 247, 366, 494, 741, 793, 1159, 1482, 1586, 2318, 2379, 3477, 4758, 6954, 15067, 30134, 45201

Step-4: Factors of 90415

List of positive integer factors of 90415 that divides 90402 without a remainder.

1, 5, 13, 65, 107, 169, 535, 845, 1391, 6955, 18083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90402 and 90415. The biggest common factor number is the GCF number.
So the greatest common factor 90402 and 90415 is 13.

Also check out the Least Common Multiple of 90402 and 90415