What is the Greatest Common Factor of 62784 and 62802?

Greatest common factor (GCF) of 62784 and 62802 is 18.

GCF(62784,62802) = 18

We will now calculate the prime factors of 62784 and 62802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62784 and 62802.

How to find the GCF of 62784 and 62802?

We will first find the prime factorization of 62784 and 62802. After we will calculate the factors of 62784 and 62802 and find the biggest common factor number .

Step-1: Prime Factorization of 62784

Prime factors of 62784 are 2, 3, 109. Prime factorization of 62784 in exponential form is:

62784 = 2⁶ × 3² × 109¹

Step-2: Prime Factorization of 62802

Prime factors of 62802 are 2, 3, 1163. Prime factorization of 62802 in exponential form is:

62802 = 2¹ × 3³ × 1163¹

Step-3: Factors of 62784

List of positive integer factors of 62784 that divides 62784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 109, 144, 192, 218, 288, 327, 436, 576, 654, 872, 981, 1308, 1744, 1962, 2616, 3488, 3924, 5232, 6976, 7848, 10464, 15696, 20928, 31392

Step-4: Factors of 62802

List of positive integer factors of 62802 that divides 62784 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1163, 2326, 3489, 6978, 10467, 20934, 31401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62784 and 62802. The biggest common factor number is the GCF number.
So the greatest common factor 62784 and 62802 is 18.

Also check out the Least Common Multiple of 62784 and 62802