What is the Greatest Common Factor of 90387 and 90402?

Greatest common factor (GCF) of 90387 and 90402 is 3.

GCF(90387,90402) = 3

We will now calculate the prime factors of 90387 and 90402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90387 and 90402.

How to find the GCF of 90387 and 90402?

We will first find the prime factorization of 90387 and 90402. After we will calculate the factors of 90387 and 90402 and find the biggest common factor number .

Step-1: Prime Factorization of 90387

Prime factors of 90387 are 3, 11, 83. Prime factorization of 90387 in exponential form is:

90387 = 3² × 11² × 83¹

Step-2: 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-3: Factors of 90387

List of positive integer factors of 90387 that divides 90387 without a remainder.

1, 3, 9, 11, 33, 83, 99, 121, 249, 363, 747, 913, 1089, 2739, 8217, 10043, 30129

Step-4: Factors of 90402

List of positive integer factors of 90402 that divides 90387 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90387 and 90402. The biggest common factor number is the GCF number.
So the greatest common factor 90387 and 90402 is 3.

Also check out the Least Common Multiple of 90387 and 90402