What is the Greatest Common Factor of 51774 and 51792?

Greatest common factor (GCF) of 51774 and 51792 is 6.

GCF(51774,51792) = 6

We will now calculate the prime factors of 51774 and 51792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51774 and 51792.

How to find the GCF of 51774 and 51792?

We will first find the prime factorization of 51774 and 51792. After we will calculate the factors of 51774 and 51792 and find the biggest common factor number .

Step-1: Prime Factorization of 51774

Prime factors of 51774 are 2, 3, 8629. Prime factorization of 51774 in exponential form is:

51774 = 2¹ × 3¹ × 8629¹

Step-2: Prime Factorization of 51792

Prime factors of 51792 are 2, 3, 13, 83. Prime factorization of 51792 in exponential form is:

51792 = 2⁴ × 3¹ × 13¹ × 83¹

Step-3: Factors of 51774

List of positive integer factors of 51774 that divides 51774 without a remainder.

1, 2, 3, 6, 8629, 17258, 25887

Step-4: Factors of 51792

List of positive integer factors of 51792 that divides 51774 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 83, 104, 156, 166, 208, 249, 312, 332, 498, 624, 664, 996, 1079, 1328, 1992, 2158, 3237, 3984, 4316, 6474, 8632, 12948, 17264, 25896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51774 and 51792. The biggest common factor number is the GCF number.
So the greatest common factor 51774 and 51792 is 6.

Also check out the Least Common Multiple of 51774 and 51792