What is the Greatest Common Factor of 66960 and 66968?

Greatest common factor (GCF) of 66960 and 66968 is 8.

GCF(66960,66968) = 8

We will now calculate the prime factors of 66960 and 66968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66960 and 66968.

How to find the GCF of 66960 and 66968?

We will first find the prime factorization of 66960 and 66968. After we will calculate the factors of 66960 and 66968 and find the biggest common factor number .

Step-1: Prime Factorization of 66960

Prime factors of 66960 are 2, 3, 5, 31. Prime factorization of 66960 in exponential form is:

66960 = 2⁴ × 3³ × 5¹ × 31¹

Step-2: Prime Factorization of 66968

Prime factors of 66968 are 2, 11, 761. Prime factorization of 66968 in exponential form is:

66968 = 2³ × 11¹ × 761¹

Step-3: Factors of 66960

List of positive integer factors of 66960 that divides 66960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 31, 36, 40, 45, 48, 54, 60, 62, 72, 80, 90, 93, 108, 120, 124, 135, 144, 155, 180, 186, 216, 240, 248, 270, 279, 310, 360, 372, 432, 465, 496, 540, 558, 620, 720, 744, 837, 930, 1080, 1116, 1240, 1395, 1488, 1674, 1860, 2160, 2232, 2480, 2790, 3348, 3720, 4185, 4464, 5580, 6696, 7440, 8370, 11160, 13392, 16740, 22320, 33480

Step-4: Factors of 66968

List of positive integer factors of 66968 that divides 66960 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 761, 1522, 3044, 6088, 8371, 16742, 33484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66960 and 66968. The biggest common factor number is the GCF number.
So the greatest common factor 66960 and 66968 is 8.

Also check out the Least Common Multiple of 66960 and 66968