What is the Greatest Common Factor of 62764 and 62782?

Greatest common factor (GCF) of 62764 and 62782 is 2.

GCF(62764,62782) = 2

We will now calculate the prime factors of 62764 and 62782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62764 and 62782.

How to find the GCF of 62764 and 62782?

We will first find the prime factorization of 62764 and 62782. After we will calculate the factors of 62764 and 62782 and find the biggest common factor number .

Step-1: Prime Factorization of 62764

Prime factors of 62764 are 2, 13, 17, 71. Prime factorization of 62764 in exponential form is:

62764 = 2² × 13¹ × 17¹ × 71¹

Step-2: Prime Factorization of 62782

Prime factors of 62782 are 2, 31391. Prime factorization of 62782 in exponential form is:

62782 = 2¹ × 31391¹

Step-3: Factors of 62764

List of positive integer factors of 62764 that divides 62764 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 71, 142, 221, 284, 442, 884, 923, 1207, 1846, 2414, 3692, 4828, 15691, 31382

Step-4: Factors of 62782

List of positive integer factors of 62782 that divides 62764 without a remainder.

1, 2, 31391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62764 and 62782. The biggest common factor number is the GCF number.
So the greatest common factor 62764 and 62782 is 2.

Also check out the Least Common Multiple of 62764 and 62782