What is the Greatest Common Factor of 66906 and 66920?

Greatest common factor (GCF) of 66906 and 66920 is 14.

GCF(66906,66920) = 14

We will now calculate the prime factors of 66906 and 66920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66906 and 66920.

How to find the GCF of 66906 and 66920?

We will first find the prime factorization of 66906 and 66920. After we will calculate the factors of 66906 and 66920 and find the biggest common factor number .

Step-1: Prime Factorization of 66906

Prime factors of 66906 are 2, 3, 7, 59. Prime factorization of 66906 in exponential form is:

66906 = 2¹ × 3⁴ × 7¹ × 59¹

Step-2: Prime Factorization of 66920

Prime factors of 66920 are 2, 5, 7, 239. Prime factorization of 66920 in exponential form is:

66920 = 2³ × 5¹ × 7¹ × 239¹

Step-3: Factors of 66906

List of positive integer factors of 66906 that divides 66906 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 59, 63, 81, 118, 126, 162, 177, 189, 354, 378, 413, 531, 567, 826, 1062, 1134, 1239, 1593, 2478, 3186, 3717, 4779, 7434, 9558, 11151, 22302, 33453

Step-4: Factors of 66920

List of positive integer factors of 66920 that divides 66906 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 239, 280, 478, 956, 1195, 1673, 1912, 2390, 3346, 4780, 6692, 8365, 9560, 13384, 16730, 33460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66906 and 66920. The biggest common factor number is the GCF number.
So the greatest common factor 66906 and 66920 is 14.

Also check out the Least Common Multiple of 66906 and 66920