What is the Greatest Common Factor of 60912 and 60920?

Greatest common factor (GCF) of 60912 and 60920 is 8.

GCF(60912,60920) = 8

We will now calculate the prime factors of 60912 and 60920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60912 and 60920.

How to find the GCF of 60912 and 60920?

We will first find the prime factorization of 60912 and 60920. After we will calculate the factors of 60912 and 60920 and find the biggest common factor number .

Step-1: Prime Factorization of 60912

Prime factors of 60912 are 2, 3, 47. Prime factorization of 60912 in exponential form is:

60912 = 2⁴ × 3⁴ × 47¹

Step-2: Prime Factorization of 60920

Prime factors of 60920 are 2, 5, 1523. Prime factorization of 60920 in exponential form is:

60920 = 2³ × 5¹ × 1523¹

Step-3: Factors of 60912

List of positive integer factors of 60912 that divides 60912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 47, 48, 54, 72, 81, 94, 108, 141, 144, 162, 188, 216, 282, 324, 376, 423, 432, 564, 648, 752, 846, 1128, 1269, 1296, 1692, 2256, 2538, 3384, 3807, 5076, 6768, 7614, 10152, 15228, 20304, 30456

Step-4: Factors of 60920

List of positive integer factors of 60920 that divides 60912 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1523, 3046, 6092, 7615, 12184, 15230, 30460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60912 and 60920. The biggest common factor number is the GCF number.
So the greatest common factor 60912 and 60920 is 8.

Also check out the Least Common Multiple of 60912 and 60920