What is the Greatest Common Factor of 59852 and 59860?

Greatest common factor (GCF) of 59852 and 59860 is 4.

GCF(59852,59860) = 4

We will now calculate the prime factors of 59852 and 59860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59852 and 59860.

How to find the GCF of 59852 and 59860?

We will first find the prime factorization of 59852 and 59860. After we will calculate the factors of 59852 and 59860 and find the biggest common factor number .

Step-1: Prime Factorization of 59852

Prime factors of 59852 are 2, 13, 1151. Prime factorization of 59852 in exponential form is:

59852 = 2² × 13¹ × 1151¹

Step-2: Prime Factorization of 59860

Prime factors of 59860 are 2, 5, 41, 73. Prime factorization of 59860 in exponential form is:

59860 = 2² × 5¹ × 41¹ × 73¹

Step-3: Factors of 59852

List of positive integer factors of 59852 that divides 59852 without a remainder.

1, 2, 4, 13, 26, 52, 1151, 2302, 4604, 14963, 29926

Step-4: Factors of 59860

List of positive integer factors of 59860 that divides 59852 without a remainder.

1, 2, 4, 5, 10, 20, 41, 73, 82, 146, 164, 205, 292, 365, 410, 730, 820, 1460, 2993, 5986, 11972, 14965, 29930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59852 and 59860. The biggest common factor number is the GCF number.
So the greatest common factor 59852 and 59860 is 4.

Also check out the Least Common Multiple of 59852 and 59860