What is the Greatest Common Factor of 60840 and 60848?

Greatest common factor (GCF) of 60840 and 60848 is 8.

GCF(60840,60848) = 8

We will now calculate the prime factors of 60840 and 60848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60840 and 60848.

How to find the GCF of 60840 and 60848?

We will first find the prime factorization of 60840 and 60848. After we will calculate the factors of 60840 and 60848 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 60848

Prime factors of 60848 are 2, 3803. Prime factorization of 60848 in exponential form is:

60848 = 2⁴ × 3803¹

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 60848

List of positive integer factors of 60848 that divides 60840 without a remainder.

1, 2, 4, 8, 16, 3803, 7606, 15212, 30424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60840 and 60848. The biggest common factor number is the GCF number.
So the greatest common factor 60840 and 60848 is 8.

Also check out the Least Common Multiple of 60840 and 60848