What is the Greatest Common Factor of 90636 and 90649?

Greatest common factor (GCF) of 90636 and 90649 is 13.

GCF(90636,90649) = 13

We will now calculate the prime factors of 90636 and 90649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90636 and 90649.

How to find the GCF of 90636 and 90649?

We will first find the prime factorization of 90636 and 90649. After we will calculate the factors of 90636 and 90649 and find the biggest common factor number .

Step-1: Prime Factorization of 90636

Prime factors of 90636 are 2, 3, 7, 13, 83. Prime factorization of 90636 in exponential form is:

90636 = 2² × 3¹ × 7¹ × 13¹ × 83¹

Step-2: Prime Factorization of 90649

Prime factors of 90649 are 13, 19, 367. Prime factorization of 90649 in exponential form is:

90649 = 13¹ × 19¹ × 367¹

Step-3: Factors of 90636

List of positive integer factors of 90636 that divides 90636 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 83, 84, 91, 156, 166, 182, 249, 273, 332, 364, 498, 546, 581, 996, 1079, 1092, 1162, 1743, 2158, 2324, 3237, 3486, 4316, 6474, 6972, 7553, 12948, 15106, 22659, 30212, 45318

Step-4: Factors of 90649

List of positive integer factors of 90649 that divides 90636 without a remainder.

1, 13, 19, 247, 367, 4771, 6973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90636 and 90649. The biggest common factor number is the GCF number.
So the greatest common factor 90636 and 90649 is 13.

Also check out the Least Common Multiple of 90636 and 90649