What is the Greatest Common Factor of 60834 and 60840?

Greatest common factor (GCF) of 60834 and 60840 is 6.

GCF(60834,60840) = 6

We will now calculate the prime factors of 60834 and 60840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60834 and 60840.

How to find the GCF of 60834 and 60840?

We will first find the prime factorization of 60834 and 60840. After we will calculate the factors of 60834 and 60840 and find the biggest common factor number .

Step-1: Prime Factorization of 60834

Prime factors of 60834 are 2, 3, 10139. Prime factorization of 60834 in exponential form is:

60834 = 2¹ × 3¹ × 10139¹

Step-2: 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-3: Factors of 60834

List of positive integer factors of 60834 that divides 60834 without a remainder.

1, 2, 3, 6, 10139, 20278, 30417

Step-4: Factors of 60840

List of positive integer factors of 60840 that divides 60834 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60834 and 60840. The biggest common factor number is the GCF number.
So the greatest common factor 60834 and 60840 is 6.

Also check out the Least Common Multiple of 60834 and 60840