What is the Greatest Common Factor of 67072 and 67080?

Greatest common factor (GCF) of 67072 and 67080 is 8.

GCF(67072,67080) = 8

We will now calculate the prime factors of 67072 and 67080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67072 and 67080.

How to find the GCF of 67072 and 67080?

We will first find the prime factorization of 67072 and 67080. After we will calculate the factors of 67072 and 67080 and find the biggest common factor number .

Step-1: Prime Factorization of 67072

Prime factors of 67072 are 2, 131. Prime factorization of 67072 in exponential form is:

67072 = 2⁹ × 131¹

Step-2: Prime Factorization of 67080

Prime factors of 67080 are 2, 3, 5, 13, 43. Prime factorization of 67080 in exponential form is:

67080 = 2³ × 3¹ × 5¹ × 13¹ × 43¹

Step-3: Factors of 67072

List of positive integer factors of 67072 that divides 67072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 256, 262, 512, 524, 1048, 2096, 4192, 8384, 16768, 33536

Step-4: Factors of 67080

List of positive integer factors of 67080 that divides 67072 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 43, 52, 60, 65, 78, 86, 104, 120, 129, 130, 156, 172, 195, 215, 258, 260, 312, 344, 390, 430, 516, 520, 559, 645, 780, 860, 1032, 1118, 1290, 1560, 1677, 1720, 2236, 2580, 2795, 3354, 4472, 5160, 5590, 6708, 8385, 11180, 13416, 16770, 22360, 33540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67072 and 67080. The biggest common factor number is the GCF number.
So the greatest common factor 67072 and 67080 is 8.

Also check out the Least Common Multiple of 67072 and 67080