What is the Greatest Common Factor of 76562 and 76574?

Greatest common factor (GCF) of 76562 and 76574 is 2.

GCF(76562,76574) = 2

We will now calculate the prime factors of 76562 and 76574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76562 and 76574.

How to find the GCF of 76562 and 76574?

We will first find the prime factorization of 76562 and 76574. After we will calculate the factors of 76562 and 76574 and find the biggest common factor number .

Step-1: Prime Factorization of 76562

Prime factors of 76562 are 2, 38281. Prime factorization of 76562 in exponential form is:

76562 = 2¹ × 38281¹

Step-2: Prime Factorization of 76574

Prime factors of 76574 are 2, 38287. Prime factorization of 76574 in exponential form is:

76574 = 2¹ × 38287¹

Step-3: Factors of 76562

List of positive integer factors of 76562 that divides 76562 without a remainder.

1, 2, 38281

Step-4: Factors of 76574

List of positive integer factors of 76574 that divides 76562 without a remainder.

1, 2, 38287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76562 and 76574. The biggest common factor number is the GCF number.
So the greatest common factor 76562 and 76574 is 2.

Also check out the Least Common Multiple of 76562 and 76574