What is the Greatest Common Factor of 60892 and 60900?

Greatest common factor (GCF) of 60892 and 60900 is 4.

GCF(60892,60900) = 4

We will now calculate the prime factors of 60892 and 60900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60892 and 60900.

How to find the GCF of 60892 and 60900?

We will first find the prime factorization of 60892 and 60900. After we will calculate the factors of 60892 and 60900 and find the biggest common factor number .

Step-1: Prime Factorization of 60892

Prime factors of 60892 are 2, 13, 1171. Prime factorization of 60892 in exponential form is:

60892 = 2² × 13¹ × 1171¹

Step-2: Prime Factorization of 60900

Prime factors of 60900 are 2, 3, 5, 7, 29. Prime factorization of 60900 in exponential form is:

60900 = 2² × 3¹ × 5² × 7¹ × 29¹

Step-3: Factors of 60892

List of positive integer factors of 60892 that divides 60892 without a remainder.

1, 2, 4, 13, 26, 52, 1171, 2342, 4684, 15223, 30446

Step-4: Factors of 60900

List of positive integer factors of 60900 that divides 60892 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 29, 30, 35, 42, 50, 58, 60, 70, 75, 84, 87, 100, 105, 116, 140, 145, 150, 174, 175, 203, 210, 290, 300, 348, 350, 406, 420, 435, 525, 580, 609, 700, 725, 812, 870, 1015, 1050, 1218, 1450, 1740, 2030, 2100, 2175, 2436, 2900, 3045, 4060, 4350, 5075, 6090, 8700, 10150, 12180, 15225, 20300, 30450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60892 and 60900. The biggest common factor number is the GCF number.
So the greatest common factor 60892 and 60900 is 4.

Also check out the Least Common Multiple of 60892 and 60900