What is the Greatest Common Factor of 60666 and 60672?

Greatest common factor (GCF) of 60666 and 60672 is 6.

GCF(60666,60672) = 6

We will now calculate the prime factors of 60666 and 60672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60666 and 60672.

How to find the GCF of 60666 and 60672?

We will first find the prime factorization of 60666 and 60672. After we will calculate the factors of 60666 and 60672 and find the biggest common factor number .

Step-1: Prime Factorization of 60666

Prime factors of 60666 are 2, 3, 10111. Prime factorization of 60666 in exponential form is:

60666 = 2¹ × 3¹ × 10111¹

Step-2: Prime Factorization of 60672

Prime factors of 60672 are 2, 3, 79. Prime factorization of 60672 in exponential form is:

60672 = 2⁸ × 3¹ × 79¹

Step-3: Factors of 60666

List of positive integer factors of 60666 that divides 60666 without a remainder.

1, 2, 3, 6, 10111, 20222, 30333

Step-4: Factors of 60672

List of positive integer factors of 60672 that divides 60666 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 79, 96, 128, 158, 192, 237, 256, 316, 384, 474, 632, 768, 948, 1264, 1896, 2528, 3792, 5056, 7584, 10112, 15168, 20224, 30336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60666 and 60672. The biggest common factor number is the GCF number.
So the greatest common factor 60666 and 60672 is 6.

Also check out the Least Common Multiple of 60666 and 60672