What is the Greatest Common Factor of 56754 and 56762?

Greatest common factor (GCF) of 56754 and 56762 is 2.

GCF(56754,56762) = 2

We will now calculate the prime factors of 56754 and 56762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56754 and 56762.

How to find the GCF of 56754 and 56762?

We will first find the prime factorization of 56754 and 56762. After we will calculate the factors of 56754 and 56762 and find the biggest common factor number .

Step-1: Prime Factorization of 56754

Prime factors of 56754 are 2, 3, 1051. Prime factorization of 56754 in exponential form is:

56754 = 2¹ × 3³ × 1051¹

Step-2: Prime Factorization of 56762

Prime factors of 56762 are 2, 101, 281. Prime factorization of 56762 in exponential form is:

56762 = 2¹ × 101¹ × 281¹

Step-3: Factors of 56754

List of positive integer factors of 56754 that divides 56754 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1051, 2102, 3153, 6306, 9459, 18918, 28377

Step-4: Factors of 56762

List of positive integer factors of 56762 that divides 56754 without a remainder.

1, 2, 101, 202, 281, 562, 28381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56754 and 56762. The biggest common factor number is the GCF number.
So the greatest common factor 56754 and 56762 is 2.

Also check out the Least Common Multiple of 56754 and 56762