What is the Greatest Common Factor of 67520 and 67536?

Greatest common factor (GCF) of 67520 and 67536 is 16.

GCF(67520,67536) = 16

We will now calculate the prime factors of 67520 and 67536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67520 and 67536.

How to find the GCF of 67520 and 67536?

We will first find the prime factorization of 67520 and 67536. After we will calculate the factors of 67520 and 67536 and find the biggest common factor number .

Step-1: Prime Factorization of 67520

Prime factors of 67520 are 2, 5, 211. Prime factorization of 67520 in exponential form is:

67520 = 2⁶ × 5¹ × 211¹

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 67520

List of positive integer factors of 67520 that divides 67520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 211, 320, 422, 844, 1055, 1688, 2110, 3376, 4220, 6752, 8440, 13504, 16880, 33760

Step-4: Factors of 67536

List of positive integer factors of 67536 that divides 67520 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 67520 and 67536. The biggest common factor number is the GCF number.
So the greatest common factor 67520 and 67536 is 16.

Also check out the Least Common Multiple of 67520 and 67536