What is the Greatest Common Factor of 60840 and 60850?

Greatest common factor (GCF) of 60840 and 60850 is 10.

GCF(60840,60850) = 10

We will now calculate the prime factors of 60840 and 60850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60840 and 60850.

How to find the GCF of 60840 and 60850?

We will first find the prime factorization of 60840 and 60850. After we will calculate the factors of 60840 and 60850 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 60850

Prime factors of 60850 are 2, 5, 1217. Prime factorization of 60850 in exponential form is:

60850 = 2¹ × 5² × 1217¹

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 60850

List of positive integer factors of 60850 that divides 60840 without a remainder.

1, 2, 5, 10, 25, 50, 1217, 2434, 6085, 12170, 30425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60840 and 60850. The biggest common factor number is the GCF number.
So the greatest common factor 60840 and 60850 is 10.

Also check out the Least Common Multiple of 60840 and 60850