What is the Greatest Common Factor of 62782 and 62792?

Greatest common factor (GCF) of 62782 and 62792 is 2.

GCF(62782,62792) = 2

We will now calculate the prime factors of 62782 and 62792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62782 and 62792.

How to find the GCF of 62782 and 62792?

We will first find the prime factorization of 62782 and 62792. After we will calculate the factors of 62782 and 62792 and find the biggest common factor number .

Step-1: Prime Factorization of 62782

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

62782 = 2¹ × 31391¹

Step-2: Prime Factorization of 62792

Prime factors of 62792 are 2, 47, 167. Prime factorization of 62792 in exponential form is:

62792 = 2³ × 47¹ × 167¹

Step-3: Factors of 62782

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

1, 2, 31391

Step-4: Factors of 62792

List of positive integer factors of 62792 that divides 62782 without a remainder.

1, 2, 4, 8, 47, 94, 167, 188, 334, 376, 668, 1336, 7849, 15698, 31396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62782 and 62792. The biggest common factor number is the GCF number.
So the greatest common factor 62782 and 62792 is 2.

Also check out the Least Common Multiple of 62782 and 62792