What is the Greatest Common Factor of 60312 and 60320?

Greatest common factor (GCF) of 60312 and 60320 is 8.

GCF(60312,60320) = 8

We will now calculate the prime factors of 60312 and 60320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60312 and 60320.

How to find the GCF of 60312 and 60320?

We will first find the prime factorization of 60312 and 60320. After we will calculate the factors of 60312 and 60320 and find the biggest common factor number .

Step-1: Prime Factorization of 60312

Prime factors of 60312 are 2, 3, 7, 359. Prime factorization of 60312 in exponential form is:

60312 = 2³ × 3¹ × 7¹ × 359¹

Step-2: Prime Factorization of 60320

Prime factors of 60320 are 2, 5, 13, 29. Prime factorization of 60320 in exponential form is:

60320 = 2⁵ × 5¹ × 13¹ × 29¹

Step-3: Factors of 60312

List of positive integer factors of 60312 that divides 60312 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 359, 718, 1077, 1436, 2154, 2513, 2872, 4308, 5026, 7539, 8616, 10052, 15078, 20104, 30156

Step-4: Factors of 60320

List of positive integer factors of 60320 that divides 60312 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 29, 32, 40, 52, 58, 65, 80, 104, 116, 130, 145, 160, 208, 232, 260, 290, 377, 416, 464, 520, 580, 754, 928, 1040, 1160, 1508, 1885, 2080, 2320, 3016, 3770, 4640, 6032, 7540, 12064, 15080, 30160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60312 and 60320. The biggest common factor number is the GCF number.
So the greatest common factor 60312 and 60320 is 8.

Also check out the Least Common Multiple of 60312 and 60320