What is the Greatest Common Factor of 67485 and 67496?

Greatest common factor (GCF) of 67485 and 67496 is 11.

GCF(67485,67496) = 11

We will now calculate the prime factors of 67485 and 67496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67485 and 67496.

How to find the GCF of 67485 and 67496?

We will first find the prime factorization of 67485 and 67496. After we will calculate the factors of 67485 and 67496 and find the biggest common factor number .

Step-1: Prime Factorization of 67485

Prime factors of 67485 are 3, 5, 11, 409. Prime factorization of 67485 in exponential form is:

67485 = 3¹ × 5¹ × 11¹ × 409¹

Step-2: Prime Factorization of 67496

Prime factors of 67496 are 2, 11, 13, 59. Prime factorization of 67496 in exponential form is:

67496 = 2³ × 11¹ × 13¹ × 59¹

Step-3: Factors of 67485

List of positive integer factors of 67485 that divides 67485 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 409, 1227, 2045, 4499, 6135, 13497, 22495

Step-4: Factors of 67496

List of positive integer factors of 67496 that divides 67485 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 59, 88, 104, 118, 143, 236, 286, 472, 572, 649, 767, 1144, 1298, 1534, 2596, 3068, 5192, 6136, 8437, 16874, 33748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67485 and 67496. The biggest common factor number is the GCF number.
So the greatest common factor 67485 and 67496 is 11.

Also check out the Least Common Multiple of 67485 and 67496