What is the Greatest Common Factor of 66960 and 66974?

Greatest common factor (GCF) of 66960 and 66974 is 2.

GCF(66960,66974) = 2

We will now calculate the prime factors of 66960 and 66974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66960 and 66974.

How to find the GCF of 66960 and 66974?

We will first find the prime factorization of 66960 and 66974. After we will calculate the factors of 66960 and 66974 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 66974

Prime factors of 66974 are 2, 33487. Prime factorization of 66974 in exponential form is:

66974 = 2¹ × 33487¹

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 66974

List of positive integer factors of 66974 that divides 66960 without a remainder.

1, 2, 33487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66960 and 66974. The biggest common factor number is the GCF number.
So the greatest common factor 66960 and 66974 is 2.

Also check out the Least Common Multiple of 66960 and 66974