What is the Greatest Common Factor of 66960 and 66970?

Greatest common factor (GCF) of 66960 and 66970 is 10.

GCF(66960,66970) = 10

We will now calculate the prime factors of 66960 and 66970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66960 and 66970.

How to find the GCF of 66960 and 66970?

We will first find the prime factorization of 66960 and 66970. After we will calculate the factors of 66960 and 66970 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 66970

Prime factors of 66970 are 2, 5, 37, 181. Prime factorization of 66970 in exponential form is:

66970 = 2¹ × 5¹ × 37¹ × 181¹

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 66970

List of positive integer factors of 66970 that divides 66960 without a remainder.

1, 2, 5, 10, 37, 74, 181, 185, 362, 370, 905, 1810, 6697, 13394, 33485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66960 and 66970. The biggest common factor number is the GCF number.
So the greatest common factor 66960 and 66970 is 10.

Also check out the Least Common Multiple of 66960 and 66970