What is the Greatest Common Factor of 67517 and 67536?

Greatest common factor (GCF) of 67517 and 67536 is 1.

GCF(67517,67536) = 1

We will now calculate the prime factors of 67517 and 67536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67517 and 67536.

How to find the GCF of 67517 and 67536?

We will first find the prime factorization of 67517 and 67536. After we will calculate the factors of 67517 and 67536 and find the biggest common factor number .

Step-1: Prime Factorization of 67517

Prime factors of 67517 are 107, 631. Prime factorization of 67517 in exponential form is:

67517 = 107¹ × 631¹

Step-2: Prime Factorization of 67536

Prime factors of 67536 are 2, 3, 7, 67. Prime factorization of 67536 in exponential form is:

67536 = 2⁴ × 3² × 7¹ × 67¹

Step-3: Factors of 67517

List of positive integer factors of 67517 that divides 67517 without a remainder.

1, 107, 631

Step-4: Factors of 67536

List of positive integer factors of 67536 that divides 67517 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 67, 72, 84, 112, 126, 134, 144, 168, 201, 252, 268, 336, 402, 469, 504, 536, 603, 804, 938, 1008, 1072, 1206, 1407, 1608, 1876, 2412, 2814, 3216, 3752, 4221, 4824, 5628, 7504, 8442, 9648, 11256, 16884, 22512, 33768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67517 and 67536. The biggest common factor number is the GCF number.
So the greatest common factor 67517 and 67536 is 1.

Also check out the Least Common Multiple of 67517 and 67536