What is the Greatest Common Factor of 60840 and 60853?

Greatest common factor (GCF) of 60840 and 60853 is 13.

GCF(60840,60853) = 13

We will now calculate the prime factors of 60840 and 60853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60840 and 60853.

How to find the GCF of 60840 and 60853?

We will first find the prime factorization of 60840 and 60853. After we will calculate the factors of 60840 and 60853 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 60853

Prime factors of 60853 are 13, 31, 151. Prime factorization of 60853 in exponential form is:

60853 = 13¹ × 31¹ × 151¹

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 60853

List of positive integer factors of 60853 that divides 60840 without a remainder.

1, 13, 31, 151, 403, 1963, 4681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60840 and 60853. The biggest common factor number is the GCF number.
So the greatest common factor 60840 and 60853 is 13.

Also check out the Least Common Multiple of 60840 and 60853