What is the Greatest Common Factor of 62820 and 62838?

Greatest common factor (GCF) of 62820 and 62838 is 18.

GCF(62820,62838) = 18

We will now calculate the prime factors of 62820 and 62838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62820 and 62838.

How to find the GCF of 62820 and 62838?

We will first find the prime factorization of 62820 and 62838. After we will calculate the factors of 62820 and 62838 and find the biggest common factor number .

Step-1: Prime Factorization of 62820

Prime factors of 62820 are 2, 3, 5, 349. Prime factorization of 62820 in exponential form is:

62820 = 2² × 3² × 5¹ × 349¹

Step-2: Prime Factorization of 62838

Prime factors of 62838 are 2, 3, 3491. Prime factorization of 62838 in exponential form is:

62838 = 2¹ × 3² × 3491¹

Step-3: Factors of 62820

List of positive integer factors of 62820 that divides 62820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 349, 698, 1047, 1396, 1745, 2094, 3141, 3490, 4188, 5235, 6282, 6980, 10470, 12564, 15705, 20940, 31410

Step-4: Factors of 62838

List of positive integer factors of 62838 that divides 62820 without a remainder.

1, 2, 3, 6, 9, 18, 3491, 6982, 10473, 20946, 31419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62820 and 62838. The biggest common factor number is the GCF number.
So the greatest common factor 62820 and 62838 is 18.

Also check out the Least Common Multiple of 62820 and 62838