What is the Greatest Common Factor of 60840 and 60857?

Greatest common factor (GCF) of 60840 and 60857 is 1.

GCF(60840,60857) = 1

We will now calculate the prime factors of 60840 and 60857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60840 and 60857.

How to find the GCF of 60840 and 60857?

We will first find the prime factorization of 60840 and 60857. After we will calculate the factors of 60840 and 60857 and find the biggest common factor number .

Step-1: Prime Factorization of 60840

Prime factors of 60840 are 2, 3, 5, 13. Prime factorization of 60840 in exponential form is:

60840 = 2³ × 3² × 5¹ × 13²

Step-2: Prime Factorization of 60857

Prime factors of 60857 are 19, 3203. Prime factorization of 60857 in exponential form is:

60857 = 19¹ × 3203¹

Step-3: Factors of 60840

List of positive integer factors of 60840 that divides 60840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 169, 180, 195, 234, 260, 312, 338, 360, 390, 468, 507, 520, 585, 676, 780, 845, 936, 1014, 1170, 1352, 1521, 1560, 1690, 2028, 2340, 2535, 3042, 3380, 4056, 4680, 5070, 6084, 6760, 7605, 10140, 12168, 15210, 20280, 30420

Step-4: Factors of 60857

List of positive integer factors of 60857 that divides 60840 without a remainder.

1, 19, 3203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60840 and 60857. The biggest common factor number is the GCF number.
So the greatest common factor 60840 and 60857 is 1.

Also check out the Least Common Multiple of 60840 and 60857