What is the Greatest Common Factor of 60320 and 60332?

Greatest common factor (GCF) of 60320 and 60332 is 4.

GCF(60320,60332) = 4

We will now calculate the prime factors of 60320 and 60332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60320 and 60332.

How to find the GCF of 60320 and 60332?

We will first find the prime factorization of 60320 and 60332. After we will calculate the factors of 60320 and 60332 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60332

Prime factors of 60332 are 2, 15083. Prime factorization of 60332 in exponential form is:

60332 = 2² × 15083¹

Step-3: Factors of 60320

List of positive integer factors of 60320 that divides 60320 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

Step-4: Factors of 60332

List of positive integer factors of 60332 that divides 60320 without a remainder.

1, 2, 4, 15083, 30166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60320 and 60332. The biggest common factor number is the GCF number.
So the greatest common factor 60320 and 60332 is 4.

Also check out the Least Common Multiple of 60320 and 60332