What is the Greatest Common Factor of 60825 and 60840?

Greatest common factor (GCF) of 60825 and 60840 is 15.

GCF(60825,60840) = 15

We will now calculate the prime factors of 60825 and 60840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60825 and 60840.

How to find the GCF of 60825 and 60840?

We will first find the prime factorization of 60825 and 60840. After we will calculate the factors of 60825 and 60840 and find the biggest common factor number .

Step-1: Prime Factorization of 60825

Prime factors of 60825 are 3, 5, 811. Prime factorization of 60825 in exponential form is:

60825 = 3¹ × 5² × 811¹

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 60825

List of positive integer factors of 60825 that divides 60825 without a remainder.

1, 3, 5, 15, 25, 75, 811, 2433, 4055, 12165, 20275

Step-4: Factors of 60840

List of positive integer factors of 60840 that divides 60825 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 60825 and 60840. The biggest common factor number is the GCF number.
So the greatest common factor 60825 and 60840 is 15.

Also check out the Least Common Multiple of 60825 and 60840